Add 24/42 and 21/40
24/42 + 21/40 is 307/280.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 42 × 20 = 840,
24/42 = 24 × 20/42 × 20 = 480/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
21/40 = 21 × 21/40 × 21 = 441/840 - Add the two like fractions:
480/840 + 441/840 = 480 + 441/840 = 921/840 - 921/840 simplified gives 307/280
- So, 24/42 + 21/40 = 307/280
In mixed form: 127/280
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