# Calculator multiplication of mixed numbers

### 3 3/4 * 2 2/5 = 91 = 9

Spelled result in words is nine.### Calculation steps

- Conversion a mixed number 3 34 to a improper fraction: 3 3/4 = 3 34 = 3 · 4 + 34 = 12 + 34 = 154

To find new numerator:

a) Multiply the whole number 3 by the denominator 4. Whole number 3 equally 3 * 44 = 124

b) Add the answer from previous step 12 to the numerator 3. New numerator is 12 + 3 = 15

c) Write previous answer (new numerator 15) over the denominator 4.

Three and three quarters is fifteen quarters - Conversion a mixed number 2 25 to a improper fraction: 2 2/5 = 2 25 = 2 · 5 + 25 = 10 + 25 = 125

To find new numerator:

a) Multiply the whole number 2 by the denominator 5. Whole number 2 equally 2 * 55 = 105

b) Add the answer from previous step 10 to the numerator 2. New numerator is 10 + 2 = 12

c) Write previous answer (new numerator 12) over the denominator 5.

Two and two fifths is twelve fifths - Multiple: 154 * 125 = 15 · 124 · 5 = 18020 = 9 · 201 · 20 = 9

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(180, 20) = 20. In the next intermediate step cancelling by a common factor of 20 gives 91.

In words - fifteen quarters multiplied by twelve fifths = nine.

### Calculate next expression:

#### Examples:

• addition of two mixed numbers: 2 1/2 + 4 2/3• addition of three mixed numbers: 1 3/8 + 6 11/13 + 5 7/8

• 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

• sum mixed number and an improper fraction: 1 3/5 + 11/5