Question

Express 4\5 as a ratio of7\10

Answer 1

Answer:

56/70

Step-by-step explanation:

We want a 7 in the numerator and a 10 in the denominator.

Hence multiply numerator and denominator by 14 and we get;

$\frac{56}{70}$, which can be written as,

$\frac{7}{10}$ x $\frac{8}{7}$

Answer 2

Answer:

4/5 : 7/10 = 8 : 7

Step-by-step explanation:

Change values to whole numbers.

Convert fractions to integers by eliminating the denominators.

Our two fractions have unlike denominators so we find the Least Common Denominator and rewrite our fractions as necessary with the common denominator

LCD(4/5, 7/10) = 10

We now have:

4/5 : 7/10 = 8/10 : 7/10

Our two fractions now have like denominators so we can multiply both by 10 to eliminate the denominators.

We then have:

4/5 : 7/10 = 8 : 7

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

The GCF of 8 and 7 is 1

Divide both terms by the GCF, 1:

8 ÷ 1 = 8

7 ÷ 1 = 7

The ratio 8 : 7 cannot be reduced further by dividing both terms by the GCF = 1 :

Therefore:

4/5 : 7/10 = 8 : 7