Adding Fraction Calculator Adding Fraction Calculator This calculator handles simple operations for adding, subtracting, dividing or multiplying fractions and returns an answer in a reduced fraction and a mixed number, if it exists. The algebraic formula for addition of fractions is a/b + c/d = (ad + bc) / bd. For example: 2/6 + 1/4 = (2*4 + 1*6) / 6*4 = 14 / 24. Reducing this fraction we get 7/12. Subtracting Fractions The formula for subtracting fractions is a/b - c/d = (ad - bc) / bd. For example: 2/6 - 1/4 = (2*4 1*6) / 6*4 = 2 / 24. Reducing this fraction we get 1/12. Multiplying Fractions The algebraic formula for multiplying fractions is a/b * c/d = ac / bd. For example: 2/6 * 1/4 = 2*1 / 6*4 = 2 / 24. Reducing this fraction we get 1/12.
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Dividing Fractions The algebraic formula for dividing fractions is a/b ÷ c/d = ad / bc. For example: 2/6 * 1/4 = 2*4 / 6*1 = 8 / 6. Reducing this fraction we get 4/3 or 1-1/3. 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 for adding, subtracting, dividing or multiplying and returns an answer in a reduced fraction and a mixed number, if it exists. Enter mixed numbers, whole numbers or fractions in the following formats: Mixed Numbers exactly as 1 1/2 which is one and one half or 25 3/32 which is twenty five and three thirty seconds. Keep exactly one space between the whole number and fraction. Up to 3 digits in length for each whole number, numerator or denominator. (123 456/789) Whole numbers up to 3 digits in length. (123) Fractions as 3/4 which is three fourths or 3/ 100 which is three one hundredreths. Up to 3 digits in length for each the numerators and denominators. (456/789) Adding Mixed Numbers Convert the mixed numbers into fractions. Use the algebraic formula for addition of fractions: a/b + c/d = (ad + bc) / bd. For example, add 1 2/6 and 2 1/4. 1 2/6 + 2 1/4 = 8/6 + 9/4 = (8*4 + 9*6) / 6*4 = 86 / 24. Reduce fractions so we get 43/12 and simplifying 3 7/12.
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Subtracting Mixed Numbers Convert the mixed numbers into fractions. Use the algebraic formula for subtraction of fractions: a/b - c/d = (ad - bc) / bd. For example, subtract 2 1/4 from 1 2/6. 1 2/6 - 2 1/4 = 8/6 + 9/4 = (8*4 - 9*6) / 6*4 = -22 / 24. Reduce fractions so we get -11/12. Multiplying Mixed Numbers Convert the mixed numbers into fractions. Use the algebraic formula for multiplying of fractions: a/b * c/d = ac / bd. For example, multiply 1 2/6 by 2 1/4. 1 2/6 * 2 1/4 = 8/6 * 9/4 = 8*9 / 6*4 = 72 / 24. Reduce fractions so we get 3/1 and simplifying 3. Dividing Mixed Numbers Convert the mixed numbers into fractions. Use the algebraic formula for division of fractions: a/b ÷ c/d = ad / bc. For example, divide 1 2/6 by 2 1/4. 1 2/6 ÷ 2 1/4 = 8/6 ÷ 9/4 = 8*4 / 9*6 = 32 / 54. Reduce fractions so we get 16/27.
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