Add 40/75 and 1/49
40/75 + 1/49 is 407/735.
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,
1/49 = 1 × 75/49 × 75 = 75/3675 - Add the two like fractions:
1960/3675 + 75/3675 = 1960 + 75/3675 = 2035/3675 - 2035/3675 simplified gives 407/735
- So, 40/75 + 1/49 = 407/735
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