Add 45/75 and 1/63
45/75 + 1/63 is 194/315.
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,
45/75 = 45 × 21/75 × 21 = 945/1575 - Likewise, for the 2nd fraction, since 63 × 25 = 1575,
1/63 = 1 × 25/63 × 25 = 25/1575 - Add the two like fractions:
945/1575 + 25/1575 = 945 + 25/1575 = 970/1575 - 970/1575 simplified gives 194/315
- So, 45/75 + 1/63 = 194/315
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