Add 40/49 and 21/48
40/49 + 21/48 is 983/784.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 48 is 2352
Next, find the equivalent fraction of both fractional numbers with denominator 2352 - For the 1st fraction, since 49 × 48 = 2352,
40/49 = 40 × 48/49 × 48 = 1920/2352 - Likewise, for the 2nd fraction, since 48 × 49 = 2352,
21/48 = 21 × 49/48 × 49 = 1029/2352 - Add the two like fractions:
1920/2352 + 1029/2352 = 1920 + 1029/2352 = 2949/2352 - 2949/2352 simplified gives 983/784
- So, 40/49 + 21/48 = 983/784
In mixed form: 1199/784
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