3 times 1 and 1/2 times 5 and 1/4 for the volume what the answer

1 2/3 * 3 1/2 = 35/

6

= 5 5/

6

≅ 5.8333333

Step-by-step explanation:

Conversion a mixed number 1 2/

3

to a improper fraction: 1 2/3 = 1 2/

3

= 1 · 3 + 2/

3

= 3 + 2/

3

= 5/

3

To find new numerator:

a) Multiply the whole number 1 by the denominator 3. Whole number 1 equally 1 * 3/

3

= 3/

3

b) Add the answer from previous step 3 to the numerator 2. New numerator is 3 + 2 = 5

c) Write a previous answer (new numerator 5) over the denominator 3.

One and two thirds is five thirds

Conversion a mixed number 3 1/

2

to a improper fraction: 3 1/2 = 3 1/

2

= 3 · 2 + 1/

2

= 6 + 1/

2

= 7/

2

To find new numerator:

a) Multiply the whole number 3 by the denominator 2. Whole number 3 equally 3 * 2/

2

= 6/

2

b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7

c) Write a previous answer (new numerator 7) over the denominator 2.

Three and one half is seven halfs

Multiple: 5/

3

* 7/

2

= 5 · 7/

3 · 2

= 35/

6

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(35, 6) = 1. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - five thirds multiplied by seven halfs = thirty-five sixths.