Add 30/42 and 35/40
30/42 + 35/40 is 89/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 42 × 20 = 840,
30/42 = 30 × 20/42 × 20 = 600/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
35/40 = 35 × 21/40 × 21 = 735/840 - Add the two like fractions:
600/840 + 735/840 = 600 + 735/840 = 1335/840 - 1335/840 simplified gives 89/56
- So, 30/42 + 35/40 = 89/56
In mixed form: 133/56
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