Add 40/75 and 54/49
1st number: 40/75, 2nd number: 1 5/49
40/75 + 54/49 is 1202/735.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 49 is 3675
Next, find the equivalent fraction of both fractional numbers with denominator 3675 - For the 1st fraction, since 75 × 49 = 3675,
40/75 = 40 × 49/75 × 49 = 1960/3675 - Likewise, for the 2nd fraction, since 49 × 75 = 3675,
54/49 = 54 × 75/49 × 75 = 4050/3675 - Add the two like fractions:
1960/3675 + 4050/3675 = 1960 + 4050/3675 = 6010/3675 - 6010/3675 simplified gives 1202/735
- So, 40/75 + 54/49 = 1202/735
In mixed form: 1467/735
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