Add 70/75 and 12/40
70/75 + 12/40 is 37/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 40 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 75 × 8 = 600,
70/75 = 70 × 8/75 × 8 = 560/600 - Likewise, for the 2nd fraction, since 40 × 15 = 600,
12/40 = 12 × 15/40 × 15 = 180/600 - Add the two like fractions:
560/600 + 180/600 = 560 + 180/600 = 740/600 - 740/600 simplified gives 37/30
- So, 70/75 + 12/40 = 37/30
In mixed form: 17/30
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