Add 40/42 and 21/24
40/42 + 21/24 is 307/168.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 24 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 42 × 4 = 168,
40/42 = 40 × 4/42 × 4 = 160/168 - Likewise, for the 2nd fraction, since 24 × 7 = 168,
21/24 = 21 × 7/24 × 7 = 147/168 - Add the two like fractions:
160/168 + 147/168 = 160 + 147/168 = 307/168 - So, 40/42 + 21/24 = 307/168
In mixed form: 1139/168
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