Add 40/70 and 45/54
40/70 + 45/54 is 59/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 54 is 1890
Next, find the equivalent fraction of both fractional numbers with denominator 1890 - For the 1st fraction, since 70 × 27 = 1890,
40/70 = 40 × 27/70 × 27 = 1080/1890 - Likewise, for the 2nd fraction, since 54 × 35 = 1890,
45/54 = 45 × 35/54 × 35 = 1575/1890 - Add the two like fractions:
1080/1890 + 1575/1890 = 1080 + 1575/1890 = 2655/1890 - 2655/1890 simplified gives 59/42
- So, 40/70 + 45/54 = 59/42
In mixed form: 117/42
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