Add 60/63 and 30/60
60/63 + 30/60 is 61/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 60 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 63 × 20 = 1260,
60/63 = 60 × 20/63 × 20 = 1200/1260 - Likewise, for the 2nd fraction, since 60 × 21 = 1260,
30/60 = 30 × 21/60 × 21 = 630/1260 - Add the two like fractions:
1200/1260 + 630/1260 = 1200 + 630/1260 = 1830/1260 - 1830/1260 simplified gives 61/42
- So, 60/63 + 30/60 = 61/42
In mixed form: 119/42
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