Add 42/54 and 49/56
42/54 + 49/56 is 119/72.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 56 is 1512
Next, find the equivalent fraction of both fractional numbers with denominator 1512 - For the 1st fraction, since 54 × 28 = 1512,
42/54 = 42 × 28/54 × 28 = 1176/1512 - Likewise, for the 2nd fraction, since 56 × 27 = 1512,
49/56 = 49 × 27/56 × 27 = 1323/1512 - Add the two like fractions:
1176/1512 + 1323/1512 = 1176 + 1323/1512 = 2499/1512 - 2499/1512 simplified gives 119/72
- So, 42/54 + 49/56 = 119/72
In mixed form: 147/72
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