Add 35/40 and 40/42
35/40 + 40/42 is 307/168.
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,
35/40 = 35 × 21/40 × 21 = 735/840 - Likewise, for the 2nd fraction, since 42 × 20 = 840,
40/42 = 40 × 20/42 × 20 = 800/840 - Add the two like fractions:
735/840 + 800/840 = 735 + 800/840 = 1535/840 - 1535/840 simplified gives 307/168
- So, 35/40 + 40/42 = 307/168
In mixed form: 1139/168
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