# Calculator subtracting two mixed numbers

This calculator performs basic and advanced operations with mixed numbers, fractions, integers, and decimals. Mixed numbers are also called mixed fractions. A mixed number 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.

### 7 1/2 - 5 3/4 = 7/4 = 1 3/4 = 1.75

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

- 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 a 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 the 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. - 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 a 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 the 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. - Subtract: 15/2 - 23/4 = 15 · 2/2 · 2 - 23/4 = 30/4 - 23/4 = 30 - 23/4 = 7/4

It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 4) = 4. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 4 = 8. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - fifteen halfs minus twenty-three quarters is seven quarters.

## What is a mixed number?

A mixed number is an integer and fraction $acb $ whose value equals the sum of that integer and fraction. For example, we write two and four-fifths as $254 $. Its value is $254 =2+54 =510 +54 =514 $. The mixed number is the exception - the missing operand between a whole number and a fraction is not multiplication but an addition: $254 =2⋅54 $. A negative mixed number - the minus sign also applies to the fractional $−254 =−(254 )=−(2+54 )=−514 $. A mixed number is sometimes called a mixed fraction. Usually, a mixed number contains a natural number and a proper fraction, and its value is an improper fraction, that is, one where the numerator is greater than the denominator.## How do I imagine a mixed number?

We can imagine mixed numbers in the example of cakes. We have three cakes, and we have divided each into five parts. We thus obtained 3 * 5 = 15 pieces of cake. One piece when we ate, there were 14 pieces left, which is $254 $ of cake. When we eat two pieces, $253 $ of the cake remains.## Mixed number in word problems:

- Peter's calculation

Peter wrote the following: 7 1/4 - 3 3/4 = 4 2/4 = 4 1/2 . Is Peter's calculation correct? Using words (math vocabulary) and numbers to explain why he is correct or incorrect. - What is 28

What is the difference between seven and three-sixteenths minus four and nine-sixteenths? Write your answer in word form. - Operation 6

Perform the operation below. Express your answer as a mixed number in simplest form 4 1/6 - 2 2/3 - Subtract mixed

Find the difference. Five and two-thirds minus two and one-half equals what number? A. three and one-sixth B. three and two-thirds C. three and one-half D. three and five-sixths - Difference of mixed numbers

12 1/2 - 9 1/5. What is the difference? - Estimate subtraction

What's the estimate of 3 1/3 - 1 5/6? - How much 3

How much more is 1⅝ than 4⅚? - Subtract

Subtract two mixed numbers: 3 1/2 -1 3/4 - Zailene 2

Zailene has 8 2/3 cups of flour. She used 5 1/2 cups of flour. How many cups of flour were left to her? - Cups of punch

Cyka made 6 19/20 cups of punch with 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? - Difference mixed fractions

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

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