Add 45/60 and 60/63
45/60 + 60/63 is 143/84.
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,
45/60 = 45 × 21/60 × 21 = 945/1260 - Likewise, for the 2nd fraction, since 63 × 20 = 1260,
60/63 = 60 × 20/63 × 20 = 1200/1260 - Add the two like fractions:
945/1260 + 1200/1260 = 945 + 1200/1260 = 2145/1260 - 2145/1260 simplified gives 143/84
- So, 45/60 + 60/63 = 143/84
In mixed form: 159/84
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