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Evaluate.

7÷(3)/(4)=

$2$ . Evaluate. $\newline$ $7 \div \frac{3}{4}=$

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Powers with negative bases

Full solution

Q.

2

. Evaluate.

\newline

7 \div \frac{3}{4}=

Understand the problem: Understand the problem. $\newline$ We need to divide $7$ by the fraction $\frac{3}{4}$ . This is the same as multiplying $7$ by the reciprocal of $\frac{3}{4}$ .
Find the reciprocal: Find the reciprocal of $\frac{3}{4}$ . The reciprocal of a fraction is obtained by swapping the numerator and the denominator. So, the reciprocal of $\frac{3}{4}$ is $\frac{4}{3}$ .
Multiply by reciprocal: Multiply $7$ by the reciprocal of $\frac{3}{4}$ . Now we multiply $7$ by $\frac{4}{3}$ to find the answer. $7 \times \left(\frac{4}{3}\right) = \left(7 \times 4\right) / 3$
Perform the multiplication: Perform the multiplication. $\newline$ Now we multiply $7$ by $4$ . $\newline$ $7 \times 4 = 28$
Divide the result: Divide the result by $3$ . Now we divide $28$ by $3$ . $28 / 3 = 9.333\ldots$

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