Add 27/42 and 45/75
27/42 + 45/75 is 87/70.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 75 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 42 × 25 = 1050,
27/42 = 27 × 25/42 × 25 = 675/1050 - Likewise, for the 2nd fraction, since 75 × 14 = 1050,
45/75 = 45 × 14/75 × 14 = 630/1050 - Add the two like fractions:
675/1050 + 630/1050 = 675 + 630/1050 = 1305/1050 - 1305/1050 simplified gives 87/70
- So, 27/42 + 45/75 = 87/70
In mixed form: 117/70
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