Add 30/40 and 35/42
30/40 + 35/42 is 19/12.
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,
30/40 = 30 × 21/40 × 21 = 630/840 - Likewise, for the 2nd fraction, since 42 × 20 = 840,
35/42 = 35 × 20/42 × 20 = 700/840 - Add the two like fractions:
630/840 + 700/840 = 630 + 700/840 = 1330/840 - 1330/840 simplified gives 19/12
- So, 30/40 + 35/42 = 19/12
In mixed form: 17/12
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