Question

Explain how to evaluate a + b ÷ c, when a = 1 2/5, b = 2 2/5, and c = 3/4. You do not have to compute the values.

Answer 1

The correct answer is:
`4(3)/(5)`

Explanation:

According to the rule of BODMAS, division is done before addition.

So, in a + b ÷ c, we will first calculate, b ÷ c

Given b =
`2(2)/(5)` =
`(12)/(5)` , c =
`(3)/(4)` .

So,
`(b)/(c)` =
`(12)/(5)` ÷
`(3)/(4)`

So,
`(b)/(c) = (12)/(5) *(4)/(3)` , as the numerator and denominator gets reversed as division is changed to multiplication.

So,
`(b)/(c) = (16)/(5)` .

Next the value of a to
`(b)/(c)` , where,
`a = 1(2)/(5) = (7)/(5)`, we get,

`(7)/(5) +(16)/(5) = (23)/(5) = 4(3)/(5)`.