Question

Evaluate 15 ÷ (3+1/3) ²

Answer 1

Answer:

$\dfrac{27}{20}$

Step-by-step explanation:

First, convert both numbers into fractions:

$\dfrac{15}{1} \div \left(\dfrac{10}{3}\right)^2$

Then, apply the exponent of the second fraction in parentheses to its numerator and denominator.

$\dfrac{15}{1} \div \left(\dfrac{10^2}{3^2}\right)$

$\dfrac{15}{1} \div \dfrac{100}{9}$

Finally, multiply the first fraction by the reciprocal of the second fraction.

(Skip, Flip, Multiply)

$\dfrac{15}{1} \times \dfrac{9}{100}$

$\dfrac{135}{100}$

And simplify.

$\dfrac{135 \div 5}{100 \div 5}$

$\dfrac{27}{20}$