## 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.

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.

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4 months 2022-01-31T07:18:17+00:00 1 Answer 0 views 0

The correct answer is: $$4\frac{3}{5}$$

Step-by-step 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 =  $$2\frac{2}{5}$$ = $$\frac{12}{5}$$ , c = $$\frac{3}{4}$$ .

So, $$\frac{b}{c}$$ = $$\frac{12}{5}$$ ÷ $$\frac{3}{4}$$

So, $$\frac{b}{c} = \frac{12}{5} \times\frac{4}{3}$$ , as the numerator and denominator gets reversed as division is changed to multiplication.

So, $$\frac{b}{c} = \frac{16}{5}$$ .

Next the value of a to  $$\frac{b}{c}$$  , where, $$a = 1\frac{2}{5} = \frac{7}{5}$$, we get,

$$\frac{7}{5} +\frac{16}{5} = \frac{23}{5} = 4\frac{3}{5}$$.