Add 30/75 and 60/63
30/75 + 60/63 is 142/105.
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,
30/75 = 30 × 21/75 × 21 = 630/1575 - Likewise, for the 2nd fraction, since 63 × 25 = 1575,
60/63 = 60 × 25/63 × 25 = 1500/1575 - Add the two like fractions:
630/1575 + 1500/1575 = 630 + 1500/1575 = 2130/1575 - 2130/1575 simplified gives 142/105
- So, 30/75 + 60/63 = 142/105
In mixed form: 137/105
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