Add 42/72 and 40/75
42/72 + 40/75 is 67/60.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 75 is 1800
Next, find the equivalent fraction of both fractional numbers with denominator 1800 - For the 1st fraction, since 72 × 25 = 1800,
42/72 = 42 × 25/72 × 25 = 1050/1800 - Likewise, for the 2nd fraction, since 75 × 24 = 1800,
40/75 = 40 × 24/75 × 24 = 960/1800 - Add the two like fractions:
1050/1800 + 960/1800 = 1050 + 960/1800 = 2010/1800 - 2010/1800 simplified gives 67/60
- So, 42/72 + 40/75 = 67/60
In mixed form: 17/60
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