Convert Fractional Ratio into Whole Number Ratio

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

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