Add 45/75 and 35/40
45/75 + 35/40 is 59/40.
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,
45/75 = 45 × 8/75 × 8 = 360/600 - Likewise, for the 2nd fraction, since 40 × 15 = 600,
35/40 = 35 × 15/40 × 15 = 525/600 - Add the two like fractions:
360/600 + 525/600 = 360 + 525/600 = 885/600 - 885/600 simplified gives 59/40
- So, 45/75 + 35/40 = 59/40
In mixed form: 119/40
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