# 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.

## Result:

### 4 - 2/5 = 18/5 = 3 3/5 = 3.6

Spelled result in words is three and three fifths (or eighteen fifths).### Calculation steps

- Subtract: 4 - 2/5 = 4/1 - 2/5 = 4 · 5/1 · 5 - 2/5 = 20/5 - 2/5 = 20 - 2/5 = 18/5

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(1, 5) = 5. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 5 = 5. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - four minus two fifths = eighteen fifths.

#### 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:

- Difference mixed fractions

What is the difference between 4 2/3 and 3 1/6? - Bike path

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? - Gavin

Gavin had 3 gallons of orange juice ready to serve at the breakfast party. His family drank 2 ⅛ gallons. How much is left? Show your work with a numberline, area model or grid. - Cups of punch

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? - Sum of 18

Sum of two fractions is 4 3/7. If one of the fractions is 2 1/5 find the other one . - Sum of mixed

The sum of two mixed numbers is 15½. One of the number is 5 ¾, what is the other? - Regrouping

Subtract mixed number with regrouping: 11 17/20- 6 19/20 - Mixed numbers

Rewrite mixed numbers, so the fractions have the same denominator: 5 1/5 - 2 2/3 - Add sub fractions

What is 4 1/2+2/7-213/14? - Marcos

Marcos wants to buy grass seed to cover his whole lawn, except for the pool. The pool is 7 1/2 m by 3 1/4 m. Find the area the grass seed needs to cover. Dimensions of the lawn are 50 m x 150 m. - Krishna

Krishna bought 5 1/2 meters of ribbon from the market . She cut off a 2 3/4 m piece of ribbon from it and gave it to Sushima . What length of ribbon is left with her? - A farmer's 2

A farmer's truck is carrying 4 2/3 tons of hay and straw. If 3 2/5 tons of the load is hay, how much straw is the truck carrying? - Pizzas

Billy ate 1 1/4 pizzas and John ate 1 2/3 pizzas. How much more pizza did John eat than Billy? - Two pizzas

Jacobs mom bought two whole pizzas. He ate 2/10 of the pizza and his dad ate 1 1/5. How much is left. - The pet

Ananya has a bunny. She bought 4 7/8 pounds of carrots. She fed her bunny 1 1/4 pounds of carrots the first week. She fed her bunny 5/6 pounds of carrots the second week. All together, how many pounds of carrots did she feed her bunny? 1. Draw a tape diag - Timothy

Timothy is 56 4/5 inches tall. Theresa is 1 1/6 inches shorter than Timothy and Jane is 1 1/3 inches shorter than Theresa. How tall is Jane? - Kevin

Kevin is baking brownies and needs peanuts. The recipe calls for 1 and 2/3 cups of peanuts. Kevin only has 5/6 of a cup of peanuts. How many more cups of peanuts does Kevin need to have the correct amount?

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