Add 18/63 and 40/75
18/63 + 40/75 is 86/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 75 is 1575
Next, find the equivalent fraction of both fractional numbers with denominator 1575 - For the 1st fraction, since 63 × 25 = 1575,
18/63 = 18 × 25/63 × 25 = 450/1575 - Likewise, for the 2nd fraction, since 75 × 21 = 1575,
40/75 = 40 × 21/75 × 21 = 840/1575 - Add the two like fractions:
450/1575 + 840/1575 = 450 + 840/1575 = 1290/1575 - 1290/1575 simplified gives 86/105
- So, 18/63 + 40/75 = 86/105
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