Add 40/49 and 30/48
40/49 + 30/48 is 565/392.
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,
30/48 = 30 × 49/48 × 49 = 1470/2352 - Add the two like fractions:
1920/2352 + 1470/2352 = 1920 + 1470/2352 = 3390/2352 - 3390/2352 simplified gives 565/392
- So, 40/49 + 30/48 = 565/392
In mixed form: 1173/392
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