Subtract 3/4 from 5/6
Answers
Answer:
1 /12
Step-by-step explanation:
LCM of the two denominators:
LCM of 6 and 4 is 12
For the 1st fraction, since 6 × 2 = 12,
5 /6 = 5 × 2 /6 × 2 = 10 /12
Likewise, for the 2nd fraction, since 4 × 3 = 12,
3 /4 = 3 × 3 /4 × 3 = 9 /12
Subtract the two fractions:
10/12 - 9/12 = 10 - 9 /12 = 1 /12
Given : Subtract 3/4 from 5/6
To Find : Evaluate
Solution:
Subtract 3/4 from 5/6
5/6 - 3/4
Take LCM of Denominators 6 and 4
6 = 2 * 3
4 = 2 * 2
LCM = 2 * 2 * 3 = 12
LCM - Least common multiplier of given numbers is the least number which is perfectly divisible by given numbers.
LCM = product of each factor of highest power
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
5/6 = 5 * 2/ (6 * 2) = 10/12
3/4 = (3 * 3) /( 4 * 3) = 9/12
5/6 - 3/4
= 10/12 - 9/12
= (10 - 9)/12
= 1/12
Hence 5/6 - 3/4 = 1/12
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