Add 9/40 and 35/42
9/40 + 35/42 is 127/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 42 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 40 × 21 = 840,
9/40 = 9 × 21/40 × 21 = 189/840 - Likewise, for the 2nd fraction, since 42 × 20 = 840,
35/42 = 35 × 20/42 × 20 = 700/840 - Add the two like fractions:
189/840 + 700/840 = 189 + 700/840 = 889/840 - 889/840 simplified gives 127/120
- So, 9/40 + 35/42 = 127/120
In mixed form: 17/120
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