Add 40/27 and 32/70
1st number: 1 13/27, 2nd number: 32/70
40/27 + 32/70 is 1832/945.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 70 is 1890
Next, find the equivalent fraction of both fractional numbers with denominator 1890 - For the 1st fraction, since 27 × 70 = 1890,
40/27 = 40 × 70/27 × 70 = 2800/1890 - Likewise, for the 2nd fraction, since 70 × 27 = 1890,
32/70 = 32 × 27/70 × 27 = 864/1890 - Add the two like fractions:
2800/1890 + 864/1890 = 2800 + 864/1890 = 3664/1890 - 3664/1890 simplified gives 1832/945
- So, 40/27 + 32/70 = 1832/945
In mixed form: 1887/945
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