Add 70/84 and 42/75
70/84 + 42/75 is 209/150.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 75 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 84 × 25 = 2100,
70/84 = 70 × 25/84 × 25 = 1750/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
42/75 = 42 × 28/75 × 28 = 1176/2100 - Add the two like fractions:
1750/2100 + 1176/2100 = 1750 + 1176/2100 = 2926/2100 - 2926/2100 simplified gives 209/150
- So, 70/84 + 42/75 = 209/150
In mixed form: 159/150
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