Mixed Numbers Calculator

Mixed Numbers
Answer:
= 7/4 + 19/8

= ((7 × 8) + (19 × 4)) / (4 × 8)

= (56 + 76) / 32

= 132/32

= 33/8

= 4 1/8

Calculator Use

Calculate on mixed numbers (mixed fractions). Operates on fractions, whole numbers, integers, mixed numbers, mixed fractions and improper fractions. We also have a fractions calculator, simplify fractions calculator and fractions comparison calculator. See additional notes below.

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:

  1. 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)
  2. Whole numbers up to 3 digits in length. (123)
  3. 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)

This script performs the reducing calculation faster than other scripts you might find. The primary reason is that it utilizes Euclid's Therom for reducing fractions which can be found here http://mathforum.org/library/drmath/view/58134.html

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.

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.
 

Cite this content, page or calculator as:

Furey, Edward "Mixed Numbers Calculator" From http://www.CalculatorSoup.com - Online Calculator Resource.