Add 30/72 and 96/49
1st number: 30/72, 2nd number: 1 47/49
30/72 + 96/49 is 1397/588.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 49 is 3528
Next, find the equivalent fraction of both fractional numbers with denominator 3528 - For the 1st fraction, since 72 × 49 = 3528,
30/72 = 30 × 49/72 × 49 = 1470/3528 - Likewise, for the 2nd fraction, since 49 × 72 = 3528,
96/49 = 96 × 72/49 × 72 = 6912/3528 - Add the two like fractions:
1470/3528 + 6912/3528 = 1470 + 6912/3528 = 8382/3528 - 8382/3528 simplified gives 1397/588
- So, 30/72 + 96/49 = 1397/588
In mixed form: 2221/588
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