Add 40/75 and 54/98
40/75 + 54/98 is 797/735.
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,
40/75 = 40 × 98/75 × 98 = 3920/7350 - Likewise, for the 2nd fraction, since 98 × 75 = 7350,
54/98 = 54 × 75/98 × 75 = 4050/7350 - Add the two like fractions:
3920/7350 + 4050/7350 = 3920 + 4050/7350 = 7970/7350 - 7970/7350 simplified gives 797/735
- So, 40/75 + 54/98 = 797/735
In mixed form: 162/735
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