Add 40/96 and 3/70
40/96 + 3/70 is 193/420.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 70 is 3360
Next, find the equivalent fraction of both fractional numbers with denominator 3360 - For the 1st fraction, since 96 × 35 = 3360,
40/96 = 40 × 35/96 × 35 = 1400/3360 - Likewise, for the 2nd fraction, since 70 × 48 = 3360,
3/70 = 3 × 48/70 × 48 = 144/3360 - Add the two like fractions:
1400/3360 + 144/3360 = 1400 + 144/3360 = 1544/3360 - 1544/3360 simplified gives 193/420
- So, 40/96 + 3/70 = 193/420
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