Add 40/75 and 36/63
40/75 + 36/63 is 116/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 63 is 1575
Next, find the equivalent fraction of both fractional numbers with denominator 1575 - For the 1st fraction, since 75 × 21 = 1575,
40/75 = 40 × 21/75 × 21 = 840/1575 - Likewise, for the 2nd fraction, since 63 × 25 = 1575,
36/63 = 36 × 25/63 × 25 = 900/1575 - Add the two like fractions:
840/1575 + 900/1575 = 840 + 900/1575 = 1740/1575 - 1740/1575 simplified gives 116/105
- So, 40/75 + 36/63 = 116/105
In mixed form: 111/105
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