what the denominator of the smallest fraction 5/6, 4/5, and 6/7.
Answers
Answer:
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Given : Fractions 5/6, 4/5, and 6/7
To Find : denominator of the smallest fraction
Solution:
Fraction = Numerator / Denominator
create equivalent fractions :
By dividing or multiplying the numerator and denominator of a given fraction by the same number except zero
a/ b = ak/bk k ≠ 0
a/b = (a/k) / (b/k) k ≠ 0
Have same denominator 6 * 5 * 7 for comparison
5/6 = 5 * 5 * 7 / ( 6 * 5 * 7) = 175 / 210
4/5 = 4 * 6 * 7 / ( 5 * 6 * 7) = 168/ 210
6/7 = 6 * 5 * 6 / ( 7 * 5 * 6) = 180 / 210
168 < 175 < 180
=> 168/210 < 175/210 < 180 / 210
=> 4/5 < 5/6 < 6/7
Smallest Fraction is 4/5
Denominator of Smallest Fraction is 5
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