# 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:

### 22/3 - 11/4 = 17/12 = 1 5/12 ≅ 1.4166667

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

### Calculation steps

1. 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
2. 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
3. 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?
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?