Add 42/75 and 75/84
42/75 + 75/84 is 1017/700.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 84 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 75 × 28 = 2100,
42/75 = 42 × 28/75 × 28 = 1176/2100 - Likewise, for the 2nd fraction, since 84 × 25 = 2100,
75/84 = 75 × 25/84 × 25 = 1875/2100 - Add the two like fractions:
1176/2100 + 1875/2100 = 1176 + 1875/2100 = 3051/2100 - 3051/2100 simplified gives 1017/700
- So, 42/75 + 75/84 = 1017/700
In mixed form: 1317/700
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