Add 30/60 and 40/63
30/60 + 40/63 is 143/126.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 63 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 60 × 21 = 1260,
30/60 = 30 × 21/60 × 21 = 630/1260 - Likewise, for the 2nd fraction, since 63 × 20 = 1260,
40/63 = 40 × 20/63 × 20 = 800/1260 - Add the two like fractions:
630/1260 + 800/1260 = 630 + 800/1260 = 1430/1260 - 1430/1260 simplified gives 143/126
- So, 30/60 + 40/63 = 143/126
In mixed form: 117/126
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