Add 35/40 and 4/21
35/40 + 4/21 is 179/168.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 21 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 21 × 40 = 840,
4/21 = 4 × 40/21 × 40 = 160/840 - Add the two like fractions:
735/840 + 160/840 = 735 + 160/840 = 895/840 - 895/840 simplified gives 179/168
- So, 35/40 + 4/21 = 179/168
In mixed form: 111/168
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