Add 30/40 and 30/42
30/40 + 30/42 is 41/28.
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,
30/42 = 30 × 20/42 × 20 = 600/840 - Add the two like fractions:
630/840 + 600/840 = 630 + 600/840 = 1230/840 - 1230/840 simplified gives 41/28
- So, 30/40 + 30/42 = 41/28
In mixed form: 113/28
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