Add 10/30 and 30/40
10/30 + 30/40 is 13/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 40 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 30 × 4 = 120,
10/30 = 10 × 4/30 × 4 = 40/120 - Likewise, for the 2nd fraction, since 40 × 3 = 120,
30/40 = 30 × 3/40 × 3 = 90/120 - Add the two like fractions:
40/120 + 90/120 = 40 + 90/120 = 130/120 - 130/120 simplified gives 13/12
- So, 10/30 + 30/40 = 13/12
In mixed form: 11/12
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