Question

Compare these three ratios using fractions.
3 to 2     5:6     8 to 12

Think about the steps you could take to compare the ratios using fractions. (blank) The first step is to write the ratios as fractions. (blank) The next step is to use a (blank) to rewrite the fractions. Finally, compare the (blank) to help you order the ratios.

Answer 1

Fill in the blanks:

Think about the steps you could take to compare the ratios using fractions. Obtain the given ratios. The first step is to write the ratios as fractions in their simplest form. The next step is to use a LCM of the denominators to rewrite the fractions. Finally, compare the numerators of fractions to help you order the ratios.

In this question,

the three ratios are 3:2, 5:6,8:12

Step 1. Fractions in the simplest form:

3/2, 5/6, 2/3

Step 2. LCM of denominators:

LCM of 2,6,3 is 6.

now the fractions will be: 9/6, 5/6, 4/6

Step 3. Comparing the numerators,

Arranging in ascending order: 4/6, 5/6, 9/6

therefore, ratios in ascending order will be: 8:12, 5:6, 3:2