Add and Subtract Fractions with Different Denominators: example 4.75

Simplify: $\frac{{(\frac{1}{2})}^{2}}{4 + 3^{2}} .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Simplify: $\frac{{(\frac{1}{3})}^{2}}{2^{3} + 2}$ .

How did it go?

	$\frac{{(\frac{1}{2})}^{2}}{4 + 3^{2}}$
Simplify the numerator.	$\frac{\frac{1}{4}}{4 + 3^{2}}$
Simplify the term with the exponent in the denominator.	$\frac{\frac{1}{4}}{4 + 9}$
Add the terms in the denominator.	$\frac{\frac{1}{4}}{13}$
Divide the numerator by the denominator.	$\frac{1}{4} \div 13$
Rewrite as multiplication by the reciprocal.	$\frac{1}{4} \cdot \frac{1}{13}$
Multiply.	$\frac{1}{52}$

	$\frac{{(\frac{1}{2})}^{2}}{4 + 3^{2}}$
Simplify the numerator.	$\frac{\frac{1}{4}}{4 + 3^{2}}$
Simplify the term with the exponent in the denominator.	$\frac{\frac{1}{4}}{4 + 9}$
Add the terms in the denominator.	$\frac{\frac{1}{4}}{13}$
Divide the numerator by the denominator.	$\frac{1}{4} \div 13$
Rewrite as multiplication by the reciprocal.	$\frac{1}{4} \cdot \frac{1}{13}$
Multiply.	$\frac{1}{52}$