Add 40/70 and 30/96
40/70 + 30/96 is 99/112.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 96 is 3360
Next, find the equivalent fraction of both fractional numbers with denominator 3360 - For the 1st fraction, since 70 × 48 = 3360,
40/70 = 40 × 48/70 × 48 = 1920/3360 - Likewise, for the 2nd fraction, since 96 × 35 = 3360,
30/96 = 30 × 35/96 × 35 = 1050/3360 - Add the two like fractions:
1920/3360 + 1050/3360 = 1920 + 1050/3360 = 2970/3360 - 2970/3360 simplified gives 99/112
- So, 40/70 + 30/96 = 99/112
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