Add 75/84 and 10/40
75/84 + 10/40 is 8/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 84 × 10 = 840,
75/84 = 75 × 10/84 × 10 = 750/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
10/40 = 10 × 21/40 × 21 = 210/840 - Add the two like fractions:
750/840 + 210/840 = 750 + 210/840 = 960/840 - 960/840 simplified gives 8/7
- So, 75/84 + 10/40 = 8/7
In mixed form: 11/7
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