Ratios and Rate: example 5.59

Write each ratio as a fraction of whole numbers:

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.

Write each ratio as a fraction: ⓐ $4.6 to 11.5$ ⓑ $2.3 to 0.69 .$

How did it go?

ⓐ $4.8 to 11.2$
Write as a fraction.	$\frac{4.8}{11.2}$
Rewrite as an equivalent fraction without decimals, by moving both decimal points 1 place to the right.	$\frac{48}{112}$
Simplify.	$\frac{3}{7}$

ⓑ The numerator has one decimal place and the denominator has $2 .$ To clear both decimals we need to move the decimal $2$ places to the right. $2.7 to 0.54$
Write as a fraction.	$\frac{2.7}{0.54}$
Move both decimals right two places.	$\frac{270}{54}$
Simplify.	$\frac{5}{1}$

ⓐ $4.8 to 11.2$
Write as a fraction.	$\frac{4.8}{11.2}$
Rewrite as an equivalent fraction without decimals, by moving both decimal points 1 place to the right.	$\frac{48}{112}$
Simplify.	$\frac{3}{7}$

ⓑ The numerator has one decimal place and the denominator has $2 .$ To clear both decimals we need to move the decimal $2$ places to the right. $2.7 to 0.54$
Write as a fraction.	$\frac{2.7}{0.54}$
Move both decimals right two places.	$\frac{270}{54}$
Simplify.	$\frac{5}{1}$