Add 21/36 and 27/35
21/36 + 27/35 is 569/420.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 35 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 36 × 35 = 1260,
21/36 = 21 × 35/36 × 35 = 735/1260 - Likewise, for the 2nd fraction, since 35 × 36 = 1260,
27/35 = 27 × 36/35 × 36 = 972/1260 - Add the two like fractions:
735/1260 + 972/1260 = 735 + 972/1260 = 1707/1260 - 1707/1260 simplified gives 569/420
- So, 21/36 + 27/35 = 569/420
In mixed form: 1149/420
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