Mixed fractions calculator



The calculator performs basic and advanced operations with mixed numbers, fractions, integers, decimals. Mixed fractions are also called mixed numbers. A mixed fraction is a whole number and a proper fraction combined, i.e. one and three-quarters. The calculator evaluates the expression or solves the equation with step-by-step calculation progress information. Solve problems with two or more mixed numbers fractions in one expression.

The calculator performs basic and advanced operations with mixed numbers, fractions, integers, decimals. Mixed fractions are also called mixed numbers. A mixed fraction is a whole number and a proper fraction combined, i.e. one and three-quarters. The calculator evaluates the expression or solves the equation with step-by-step calculation progress information. Solve problems with two or more mixed numbers fractions in one expression.

Result:

3/4 + 5/6 = 19/12 = 1 7/121.5833333

Spelled result in words is one and seven twelfths (or nineteen twelfths).

Calculation steps

  1. Add: 3/4 + 5/6 = 3 · 3/4 · 3 + 5 · 2/6 · 2 = 9/12 + 10/12 = 9 + 10/12 = 19/12
    For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(4, 6) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 6 = 24. In the next intermediate step, the fraction result cannot be further simplified by canceling.
    In words - three quarters plus five sixths = nineteen twelfths.


Examples:

sum of two mixed numbers: 1 3/4 + 2 3/8
addition of three mixed numbers: 1 3/8 + 6 11/13 + 5 7/8
addition of two mixed numbers: 2 1/2 + 4 2/3
subtracting two mixed numbers: 7 1/2 - 5 3/4
multiplication of mixed numbers: 3 3/4 * 2 2/5
comparing mixed numbers: 3 1/4 2 1/3
changing improper fraction to mixed number: 9/4
What is 3/4 as a mixed number: 3/4
subtracting mixed number and fraction: 1 3/5 - 5/6
sum mixed number and an improper fraction: 1 3/5 + 11/5

Mixed fractions in word problems:

  • Mixed2improper
    zlomky Write the mixed number as an improper fraction. 166 2/3
  • Difference mixed fractions
    mixed_fractions What is the difference between 4 2/3 and 3 1/6?
  • Sum of mixed
    mixed The sum of two mixed numbers is 15½. One of the number is 5 ¾, what is the other?
  • Jack planted
    plan1 Jack planted 1 1/4 rows of lettuce in the family garden, Rose planted 1 1/2 rows of broccoli and Calvin planted 4 5/12 rows of beans. How many rows were planted in the garden?
  • An electrician
    cu_wire An electrician needs 1 1/3 rolls of electrical wire to wire each room in a house. How many rooms can he wire with 6 2/3 rolls of wire?
  • Adding mixed numbers
    fractions Add this two mixed numbers: 1 5/6 + 2 2/11=
  • Addition of mixed numerals
    scientific Add two mixed fractions: 2 4/6 + 1 3/6
  • Adding mixed 4
    fractions 2 and 1/8th plus 1 and 1/3rd =
  • Cups of punch
    mixed_fractions Cyka made 6 19/20 cups of punch punch at two different types of juice in it. If the punch had 4 1/5 cups of one type of juice how many cups of the other type of juice did it have?
  • Adding mixed numerals
    zlomky 3 3/4 + 2 3/5 + 5 1/2 Show your solution.
  • Bike path
    bicycle_gears Bill was riding his bike on a bike path that was 5 1/4 miles long. He rode his bike awhile and stopped for s drink or water. Then he rode 2 7/10 miles and was at the end of the path. How far had Bill ridden before he stopped for water?
  • Team run
    runners The first team member in a 926-person relay race must run 2 1/4 laps, the second team member must run 1 1/2 laps, and the third team member must run 3 1/4 laps. How many laps in all must each team run?
  • Apples 14
    jablka Maya bought 18 apples. She used 50% of the apples to make apple pies and 1/3 of the apples was mixed with other fruits to make salad. How many apples were left?
  • Sum of 18
    mixed_fractions Sum of two fractions is 4 3/7. If one of the fractions is 2 1/5 find the other one .
  • Mixed divided with frac
    pizza There are 2 2/3 pizzas. How many people are sharing when each has 2/3 of pizza?
  • Equation with mixed fractions
    fractions 2 3/5 of 1430+? = 1900. How to do this problem
  • Donuts 3
    box3 You pick up donuts for a party. You have 3 and 4/12 boxes of donuts. Roy picks up donuts too. He has 2 and 9/12 boxes of donuts. How many boxes of donuts do you have in all?


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