Add 49/28 and 40/75
1st number: 1 21/28, 2nd number: 40/75
49/28 + 40/75 is 137/60.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 75 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 28 × 75 = 2100,
49/28 = 49 × 75/28 × 75 = 3675/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
40/75 = 40 × 28/75 × 28 = 1120/2100 - Add the two like fractions:
3675/2100 + 1120/2100 = 3675 + 1120/2100 = 4795/2100 - 4795/2100 simplified gives 137/60
- So, 49/28 + 40/75 = 137/60
In mixed form: 217/60
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