Start Here; Our Story; Hire a Tutor; Upgrade to Math Mastery. Simplify Fractions Calculator. Example: the reciprocal of 3.25 is 1/3.25. Read more at Reciprocal of a Fraction. It may help to remember that "Reciprocal" comes from the Latin reciprocus meaning returning. To perform math operations on simple proper or improper fractions use our Reciprocal of a number calculator that shows work to find the inverse value of given fraction, mixed number or whole number. Keep exactly one space between the whole number and fraction and use a forward slash to input fractions. You can enter up to 3 digits in length for each whole number, numerator or denominator (123 456/789). Whole Number Calculator. You can enter up to 3 digits in length for each the numerators and denominators (e.g., 456/789). The reciprocal of or 8. BYJU’S online reciprocal of a fraction calculator tool makes the calculations faster and it displays the multiplicative inverse of a given number in a fraction of seconds. You should always get 1, Reciprocal: what to multiply a value by to get 1. The Math Forum: LCD, LCM. Reciprocal of a decimal; To find the reciprocal of a decimal, you need to do the same as before - divide 1 by your decimal number. Let us try multiplying a number by its reciprocal: 2 × (1 / 2) = 2 x 0.5 = 1. https://www.calculatorsoup.com - Online Calculators. Enter mixed numbers, whole numbers or fractions in the following formats: 1 2/6 + 2 1/4 = 8/6 + 9/4 = (8*4 + 9*6) / 6*4 = 86 / 24, 1 2/6 - 2 1/4 = 8/6 - 9/4 = (8*4 - 9*6) / 6*4 = -22 / 24, 1 2/6 * 2 1/4 = 8/6 * 9/4 = 8*9 / 6*4 = 72 / 24, Reduce the fraction to get 3/1 and simplify to 3, 1 2/6 ÷ 2 1/4 = 8/6 ÷ 9/4 = 8*4 / 9*6 = 32 / 54. 3. Reciprocal of a Fraction Calculator is a free online tool that displays the reciprocal or multiplicative inverse of a given number. Calculating the reciprocal of a number or fraction. The Mixed Numbers Calculator can add, subtract, multiply and divide mixed numbers and fractions. $$\dfrac{a}{b} + \dfrac{c}{d} = \dfrac{(a \times d) + (b \times c)}{b \times d}$$, $$1 \dfrac{2}{6} + 2 \dfrac{1}{4} = \dfrac{8}{6} + \dfrac{9}{4}$$, $$= \dfrac{(8 \times 4) + (9 \times 6)}{6 \times 4}$$, $$= \dfrac{32 + 54}{24} = \dfrac{86}{24} = \dfrac{43}{12}$$, $$\dfrac{a}{b} - \dfrac{c}{d} = \dfrac{(a \times d) - (b \times c)}{b \times d}$$, $$\dfrac{a}{b} \times \dfrac{c}{d} = \dfrac{a \times c}{b \times d}$$, $$\dfrac{a}{b} \div \dfrac{c}{d} = \dfrac{a \times d}{b \times c}$$. We can think of a whole number as being "number/1", so the reciprocal is just like "flipping it over": Number Reciprocal; 5 = 51 : 1 5: 8 = 81 : 1 8: 1000 = 10001 : 1 1000: For Fractions, Flip the Whole Fraction Over. Like going to the shops and then returning home again. Fractions Calculator. Check out the definition, formula, and how to find it easy and quick from this article. To find the reciprocal of a number, divide 1 by the number. This online calculator handles simple operations on whole numbers, integers, mixed numbers, fractions and improper fractions by adding, subtracting, dividing or multiplying. Long Division with Remainders Calculator to find whole number and remainder values. Let us try multiplying a number by its reciprocal: Try some more yourself! The reciprocal of . In general: The reciprocal of a fraction is obtained by interchanging the numerator and the denominator, i.e. Flipping a Flip. Write the reciprocal of a whole number as a fraction. If you are simplifying large fractions by hand you can use the For example, you can find the reciprocal of 0.4 by calculating 1 ÷ 0.4. We can think of a whole number as being "number/1", so the reciprocal is just like "flipping it over": The reciprocal of a reciprocal takes us back to where we started: The reciprocal of 1/4 is 4 (back to 4 again). The reciprocal. One number is the reciprocal of another if their product is 1.. Whole Numbers Calculator. A multiplicative inverse or reciprocal for a number n, denoted by 1 n or n −1 (n to the power of minus one), is a number which when multiplied by n, their product is 1. Use the algebraic formula for addition of fractions: Reduce fractions and simplify if possible, Use the algebraic formula for subtraction of fractions: a/b - c/d = (ad - bc) / bd, Use the algebraic formula for multiplying of fractions: a/b * c/d = ac / bd, Use the algebraic formula for division of fractions: a/b ÷ c/d = ad / bc. If you want to simplify an individual fraction into lowest terms use our Email: donsevcik@gmail.com Tel: 800-234-2933; Convert the mixed numbers to improper fractions. of a fraction is a fraction obtained by switching the values in the numerator and the denominator of the given fraction. Start Here; Our Story; Hire a Tutor; Upgrade to Math Mastery. Example: the reciprocal of 7 is 1/7. Fractions: Enter as 3/4 which is three fourths or 3/100 which is three one hundredths. This calculator simplifies improper fraction answers into mixed numbers. You can use a calculator to solve this, or continue on to the next step to solve it by hand. This Solver (FIND reciprocal of a NUMBER) was created by by ichudov(507) : View Source, Show, Put on YOUR site About ichudov: I am not a paid tutor, I am the owner of this web site. What Does a Multiplicative Inverse or Reciprocal Mean? Enter how many Whole Numbers you want: View the Whole Numbers Flashcards. Example: the reciprocal of 3 / 4 is 4 / 3. Mixed numbers: Enter as 1 1/2 which is one and one half or 25 3/32 which is twenty five and three thirty seconds. by inverting the fraction. fraction calculator, mixed number calculator, fraction operations calculator, fraction addition calculator, fraction subtraction calculator, fraction multiplication calculator, fraction division calculator. Menu. Fractions and Mixed Numbers Calculator. Scroll down the page for more examples and solutions on using reciprocals. Read more at Reciprocal of a Fraction. Example 7 Find reciprocal of this number: This solver has been accessed 552402 times. © 2006 -2020CalculatorSoup® Menu. Every number has a reciprocal except 0 (1/0 is undefined). This calculator performs the reducing calculation faster than others you might find. For example inverse of 3/4 is improper fraction 4/3. What is Multiplicative Inverse? The reciprocal of . The reciprocal is also called the "Multiplicative Inverse". The main aim to introduce this reciprocal calculator tool is to calculate the multiplicative inverse for huge numbers in no time and make the calculations efficiently. The following diagram shows how to get the reciprocal of a fraction, whole number and mixed number. Do math calculations with mixed numbers (mixed fractions) performing operations on fractions, whole numbers, integers, mixed numbers, mixed fractions and improper fractions. The answer is provided in a reduced fraction and a mixed number … So, multiplicative inverse of X is 1/X. The primary reason is that the code utilizes Euclid's Theorem for reducing fractions which can be found at To invert fraction you simply need to swap its nominator with denominator. Simply Multiplicative Inverse is "Reciprocal". For Fractions, Flip the Whole Fraction Over. Run Another Calculation. To get the reciprocal of a number, we divide 1 by the number. Greatest Common Factor Calculator. If you can't change it to a fraction, calculate the reciprocal of that number as a division problem: 1 ÷ (the decimal). All rights reserved. Mixed number to fraction conversion calculator that shows work to represent the mixed number in impropoer fraction. Whole Number Calculator. Whole Number Calculator. Cite this content, page or calculator as: Furey, Edward "Mixed Numbers Calculator"; CalculatorSoup, Example: the reciprocal of 3 / 4 is 4 / 3. Remember: "Multiplicative inverse" and "reciprocal" is the same thing; To invert a number X you have to divide 1 by that number. For an explanation of how to factor numbers to find the greatest common factor (GCF) see the The answer is provided in a reduced fraction and a mixed number if it exists. FIND reciprocal of a NUMBER. In other words, the reciprocal of any number is one divided by that number. This Solver (FIND reciprocal of a NUMBER) was created by by ichudov(507) : View Source, Show, Put on YOUR site About ichudov: I am not a paid tutor, I am the owner of this web site. Enter how many Whole Numbers you want: View the Whole Numbers Flashcards Mixed Numbers Calculator (also referred to as Mixed Fractions): This online calculator handles simple operations on whole numbers, integers, mixed numbers, fractions and improper fractions by adding, subtracting, dividing or multiplying.