Add 40/28 and 49/30
1st number: 1 12/28, 2nd number: 1 19/30
40/28 + 49/30 is 643/210.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 30 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 28 × 15 = 420,
40/28 = 40 × 15/28 × 15 = 600/420 - Likewise, for the 2nd fraction, since 30 × 14 = 420,
49/30 = 49 × 14/30 × 14 = 686/420 - Add the two like fractions:
600/420 + 686/420 = 600 + 686/420 = 1286/420 - 1286/420 simplified gives 643/210
- So, 40/28 + 49/30 = 643/210
In mixed form: 313/210
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