Add 30/40 and 64/70
30/40 + 64/70 is 233/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 70 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
30/40 = 30 × 7/40 × 7 = 210/280 - Likewise, for the 2nd fraction, since 70 × 4 = 280,
64/70 = 64 × 4/70 × 4 = 256/280 - Add the two like fractions:
210/280 + 256/280 = 210 + 256/280 = 466/280 - 466/280 simplified gives 233/140
- So, 30/40 + 64/70 = 233/140
In mixed form: 193/140
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