Add 42/10 and 75/27
1st number: 4 2/10, 2nd number: 2 21/27
42/10 + 75/27 is 314/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 27 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 10 × 27 = 270,
42/10 = 42 × 27/10 × 27 = 1134/270 - Likewise, for the 2nd fraction, since 27 × 10 = 270,
75/27 = 75 × 10/27 × 10 = 750/270 - Add the two like fractions:
1134/270 + 750/270 = 1134 + 750/270 = 1884/270 - 1884/270 simplified gives 314/45
- So, 42/10 + 75/27 = 314/45
In mixed form: 644/45
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