# 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

The 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:

- Mendy

Mendy needs 3 1/2 cups of sugar to make a cake. She only has 1 5/8 cups. How many more cups of sugar does Mendy need? - What is 28

What is the difference between seven and three-sixteenths minus four and nine-sixteenths? Write your answer in word form. - Miguel 2

Miguel had 5/6 of a pizza, and Chris had 1 and 5/8 of a similar pizza. How much more pizza did Chris have than Miguel? - Charlie 2

Charlie has $10 1/2; she went to the store and bought a chap-stick for $1.75. How much money does she have now?

- Joel is

Joel is 2 1/2 inches shorter than Carlos. Carlos is 1 1/4 inches taller than Dan. If Dan is 58 1/4 inches tall, how many inches tall is Joel? - From 1842

From 1842 to 1875, the yearly erosion of 61/100 meters to a maximum of 1 17/50 meters. By how much did these rates of erosion differ? - Mother 16

Mother cooks food in 1 3/4 hours and prepares the children's snack in 4/6 of an hour. How much longer does she cook the food than prepare the children's snacks? - An oil 2

An oil tin contains 3 3/4 liters of oil which 2 1/2 liters of oil is used. How much oil is left over? - Jacobi

Jacobi bought 7 1/2 pounds of meatballs. He decided to cook 1 1/4 pounds and freeze the rest. How many pounds did he freeze?

- Minutes

Determine the difference in minutes: T_{1}= 2 3/20 h T_{2}= 2.3 h - Sportwear

A sporting goods manufacturer has 11 2/9 yd of fabric to make soccer shorts. Each pair of soccer shorts requires 3/8 yd of fabric. How many pairs of soccer shorts can be made? How much material will be left over? - Rice cooking

Aunt had 1 3/4 kg of rice, then Aunt bought another 2 1/2 kg of rice, cooked 0.2 kg, calculate the remaining rice Aunt now. - Chuck

Chuck Stone has 8 7/8 cubic yards of concrete in a truck. How much concrete remains in the truck if he unloads 2 1/2 cubic yards at the first stop, 3 cubic yards at the second stop, and 1 3/4 cubic yards at the third stop? - What is 26

What is the selling price of goods listed at P580 less discounts of 20%,12 1/2%, and 5.5%?

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