Add 30/40 and 10/28
30/40 + 10/28 is 31/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 28 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
30/40 = 30 × 7/40 × 7 = 210/280 - Likewise, for the 2nd fraction, since 28 × 10 = 280,
10/28 = 10 × 10/28 × 10 = 100/280 - Add the two like fractions:
210/280 + 100/280 = 210 + 100/280 = 310/280 - 310/280 simplified gives 31/28
- So, 30/40 + 10/28 = 31/28
In mixed form: 13/28
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