Add 30/63 and 70/75
30/63 + 70/75 is 148/105.
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,
30/63 = 30 × 25/63 × 25 = 750/1575 - Likewise, for the 2nd fraction, since 75 × 21 = 1575,
70/75 = 70 × 21/75 × 21 = 1470/1575 - Add the two like fractions:
750/1575 + 1470/1575 = 750 + 1470/1575 = 2220/1575 - 2220/1575 simplified gives 148/105
- So, 30/63 + 70/75 = 148/105
In mixed form: 143/105
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