Add 54/75 and 30/98
54/75 + 30/98 is 1257/1225.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 98 is 7350
Next, find the equivalent fraction of both fractional numbers with denominator 7350 - For the 1st fraction, since 75 × 98 = 7350,
54/75 = 54 × 98/75 × 98 = 5292/7350 - Likewise, for the 2nd fraction, since 98 × 75 = 7350,
30/98 = 30 × 75/98 × 75 = 2250/7350 - Add the two like fractions:
5292/7350 + 2250/7350 = 5292 + 2250/7350 = 7542/7350 - 7542/7350 simplified gives 1257/1225
- So, 54/75 + 30/98 = 1257/1225
In mixed form: 132/1225
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