Add 75/84 and 70/75
75/84 + 70/75 is 767/420.
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,
75/84 = 75 × 25/84 × 25 = 1875/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
70/75 = 70 × 28/75 × 28 = 1960/2100 - Add the two like fractions:
1875/2100 + 1960/2100 = 1875 + 1960/2100 = 3835/2100 - 3835/2100 simplified gives 767/420
- So, 75/84 + 70/75 = 767/420
In mixed form: 1347/420
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