# Calculator subtracting two mixed numbers

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.

### 71/2 - 53/4 = 7/4 = 1 3/4 = 1.75

Spelled result in words is one and three quarters (or seven quarters).

### Calculation steps

1. Conversion a mixed number 7 1/2 to a improper fraction: 7 1/2 = 7 1/2 = 7 · 2 + 1/2 = 14 + 1/2 = 15/2

To find new numerator:
a) Multiply the whole number 7 by the denominator 2. Whole number 7 equally 7 * 2/2 = 14/2
b) Add the answer from previous step 14 to the numerator 1. New numerator is 14 + 1 = 15
c) Write a previous answer (new numerator 15) over the denominator 2.

Seven and one half is fifteen halfs
2. Conversion a mixed number 5 3/4 to a improper fraction: 5 3/4 = 5 3/4 = 5 · 4 + 3/4 = 20 + 3/4 = 23/4

To find new numerator:
a) Multiply the whole number 5 by the denominator 4. Whole number 5 equally 5 * 4/4 = 20/4
b) Add the answer from previous step 20 to the numerator 3. New numerator is 20 + 3 = 23
c) Write a previous answer (new numerator 23) over the denominator 4.

Five and three quarters is twenty-three quarters
3. Subtract: 15/2 - 23/4 = 15 · 2/2 · 2 - 23/4 = 30/4 - 23/4 = 30 - 23/4 = 7/4
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(2, 4) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 4 = 8. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - fifteen halfs minus twenty-three quarters = seven quarters.

## Mixed fractions in word problems:

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• Difference mixed fractions What is the difference between 4 2/3 and 3 1/6?
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• Pizzas Billy ate 1 1/4 pizzas and John ate 1 2/3 pizzas. How much more pizza did John eat than Billy?
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• 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 burger The water starts with 41 1/4 cups of water how much water is left after ten 3 5/8 Scoops of water are removed?
• 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?