## 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

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## Answers ( )

Answer:The correct answer is: [tex]4\frac{3}{5}[/tex]

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 = [tex]2\frac{2}{5}[/tex] = [tex]\frac{12}{5}[/tex] , c = [tex]\frac{3}{4}[/tex] .

So, [tex]\frac{b}{c}[/tex] = [tex]\frac{12}{5}[/tex] ÷ [tex]\frac{3}{4}[/tex]

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

So, [tex]\frac{b}{c} = \frac{16}{5}[/tex] .

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

[tex]\frac{7}{5} +\frac{16}{5} = \frac{23}{5} = 4\frac{3}{5}[/tex].