Question

Write the ratio 4/7 to 14 as a fraction in simplest form.

Answer 1

4/7 : 14
2 : 49

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Answer 2

Step-by-step explanation:

Convert the whole number 14 to a fraction with 1 in the denominator.

We then have:

4/7 : 14 = 4/7 : 14/1

Convert fractions to integers by eliminating the denominators.

We now have:

4/7 : 14 = 4/7 : 98/7

Our two fractions now have like denominators so we can multiply both by 7 to eliminate the denominators.

We then have:

4/7 : 14 = 4 : 98

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 4 and 98 is 2

Divide both terms by the GCF, 2:

4 ÷ 2 = 2

98 ÷ 2 = 49

The ratio 4 : 98 can be reduced to lowest terms by dividing both terms by the GCF = 2 :

4 : 98 = 2 : 49

Therefore:

4/7 : 14 = 2 : 49