In order to convert fractional ratio into whole number ratio, we follow the following steps:

**Step I:** Find the
least common multiple (L. C. M.) of the denominators.

**Step II:** Multiply
each term of the ratio by this least common multiple (L. C. M.).

**Step III:** Then simplify
it.

Solved examples on conversion of fractional ratio into whole number ratio:

**1.** Convert 1/3 : 1/4 into whole number ratio i.e., to ratio in simple form.

**Solution:**

1/3 : 1/4

First we need to find the least common multiple (L. C. M.) of the denominators 3 and 4 of the given ratio 1/3 : 1/4. The least common multiple (L. C. M.) of the denominators 3 and 4 = 12

Now we need to multiply each term of the ratio by this least
common multiple 12.

= (1/3) × 12 : (1/4) × 12

= 12/3 : 12/4

= 4 : 3

**Note: **If each term of a ratio multiplied or
divided by the same number or same quantity, the ratio remains the same.

In another alternative method we can convert 1/3 : 1/4 as,

= 1/3 ÷ 1/4, [Dividing first quantity by the second quantity]

= (1/3) × (4/1)

= 4/3

= 4 : 3

**2.** Convert 9/7 :
8/3 into whole number ratio i.e., to ratio in simple form.

**Solution:**

9/7 : 8/3

First we need to find the least common multiple (L. C. M.) of the denominators 7 and 3 of the given ratio 9/7 : 8/3. The least common multiple (L. C. M.) of the denominators 7 and 3 = 21

Now we need to multiply each term of the ratio by this least common multiple 21.

= (9/7) × 21 : (8/3) × 21

= 189/7 : 168/3

= 27 : 56

In another alternative method we can convert 9/7 : 8/3 as,

= 9/7 ÷ 8/3, [Dividing first quantity by the second quantity]

= (9/7) × (3/8)

= 27/56

= 27 : 56

**6th Grade Page**

**From Convert Fractional Ratio into Whole Number Ratio to HOME PAGE**

**Didn't find what you were looking for? Or want to know more information
about Math Only Math.
Use this Google Search to find what you need.**

## New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.