Question

Find the indicated quotient to the nearest tenth. 7.2/ 5.6

Answer 1

1.3

Explanation:

Given number = 7.2

Divisor = 5.6

`\[(7.2)/(5.6) = (7.2*10)/(5.6*10)\]`

`\[= (72)/(56)\]`

Simplifying,

`\[= (72/ 4)/(56/ 4)\]`

`\[= (18)/(14)\]`

`\[= (18/ 2)/(14/ 2)\]`

`\[= (9)/(7)\]`

`\[= 1.285\]`

`\[= 1.3\]` (to the nearest tenth)

Validating by multiplying the quotient and divisor,

`\[1.3 * 5.6\]`

`\[= 7.28\]`

This is approximately equal to the dividend subject to rounding error.