Add 40/60 and 45/63
40/60 + 45/63 is 29/21.
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,
40/60 = 40 × 21/60 × 21 = 840/1260 - Likewise, for the 2nd fraction, since 63 × 20 = 1260,
45/63 = 45 × 20/63 × 20 = 900/1260 - Add the two like fractions:
840/1260 + 900/1260 = 840 + 900/1260 = 1740/1260 - 1740/1260 simplified gives 29/21
- So, 40/60 + 45/63 = 29/21
In mixed form: 18/21
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