# 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:

### 2 2/3 - 1 1/4 = 17/12 = 1 5/12 ≅ 1.4166667

Spelled result in words is one and five twelfths (or seventeen twelfths).### Calculation steps

- Conversion a mixed number 2 2/3 to a improper fraction: 2 2/3 = 2 2/3 = 2 · 3 + 2/3 = 6 + 2/3 = 8/3

To find new numerator:

a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/3 = 6/3

b) Add the answer from previous step 6 to the numerator 2. New numerator is 6 + 2 = 8

c) Write a previous answer (new numerator 8) over the denominator 3.

Two and two thirds is eight thirds - Conversion a mixed number 1 1/4 to a improper fraction: 1 1/4 = 1 1/4 = 1 · 4 + 1/4 = 4 + 1/4 = 5/4

To find new numerator:

a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/4 = 4/4

b) Add the answer from previous step 4 to the numerator 1. New numerator is 4 + 1 = 5

c) Write a previous answer (new numerator 5) over the denominator 4.

One and one quarter is five quarters - Subtract: 8/3 - 5/4 = 8 · 4/3 · 4 - 5 · 3/4 · 3 = 32/12 - 15/12 = 32 - 15/12 = 17/12

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(3, 4) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 4 = 12. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - eight thirds minus five quarters = seventeen 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:

- Mixed numbers

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

What is the difference between 4 2/3 and 3 1/6? - Add sub fractions

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

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

Mrs. Lazo bought 9 1/8 m curtain cloth. She used 3 5/6 m to make a curtain for their bedroom. How many meters of cloth were not used? - Pizzas

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

The total length of the two ribbons is 13 meters. If one ribbon is 7 and 5/8 meters long, what is the length of the other ribbon? - Birthday party

Jay brought 2 pizzas for his birthday party. At the birthday party, they eye 1 4/7 pizzas . What’s the fraction of pizzas they have left? - 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? - A 14.5-gallon

A 14.5-gallon gasoline tank is 3/4 full. How many gallons will it take to fill the tank? Write your answer as a mixed number. - Karina

Karina has 5 4/7 meters of cloth. She needs 3 1/6 meters of it in making a curtain for her window. How many meters of cloth were left to her after making the curtain? - Arelli

Arelli had 20 minutes to do a three-problem quiz. She spent 9 7/10 minutes on question A and 3 2/5 minutes on question B. How much time did she have left for question C? Solve on paper to find the answer as a fraction. - Martin

Martin is making a model of a Native American canoe. He has 5 1/2 feet of wood. He uses 2 3/4 feet for the hull and 1 1/4 feet for a paddle. How much wood does he have left? Martin has feet of wood left. - 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? - Evan

Evan, Samuel, and Alex are doing a biking relay on the Key Biscayne Bridge. Altogether, they bike a total 7 miles. If Evan bikes 2 1/3 of a mile and Samuel bikes 2 1/4 of a mile, what distance does Alex bike? - 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?

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