Express the given ratios in simplest form , 7/3 : 21/5
Answers
Answer:
7/3 : 21/5 = 5 : 9
Solution:
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(7/3, 21/5) = 15
We now have:
7/3 : 21/5 = 35/15 : 63/15
Our two fractions now have like denominators so we can multiply both by 15 to eliminate the denominators.
We then have:
7/3 : 21/5 = 35 : 63
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 35 and 63 is 7
Divide both terms by the GCF, 7:
35 ÷ 7 = 5
63 ÷ 7 = 9
The ratio 35 : 63 can be reduced to lowest terms by dividing both terms by the GCF = 7 :
35 : 63 = 5 : 9
Therefore:
7/3 : 21/5 = 5 : 9
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