Add 75/84 and 35/40
75/84 + 35/40 is 99/56.
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,
35/40 = 35 × 21/40 × 21 = 735/840 - Add the two like fractions:
750/840 + 735/840 = 750 + 735/840 = 1485/840 - 1485/840 simplified gives 99/56
- So, 75/84 + 35/40 = 99/56
In mixed form: 143/56
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