Add 40/75 and 63/70
40/75 + 63/70 is 43/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 70 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 75 × 14 = 1050,
40/75 = 40 × 14/75 × 14 = 560/1050 - Likewise, for the 2nd fraction, since 70 × 15 = 1050,
63/70 = 63 × 15/70 × 15 = 945/1050 - Add the two like fractions:
560/1050 + 945/1050 = 560 + 945/1050 = 1505/1050 - 1505/1050 simplified gives 43/30
- So, 40/75 + 63/70 = 43/30
In mixed form: 113/30
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