Add 20/30 and 32/35
20/30 + 32/35 is 166/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 35 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
20/30 = 20 × 7/30 × 7 = 140/210 - Likewise, for the 2nd fraction, since 35 × 6 = 210,
32/35 = 32 × 6/35 × 6 = 192/210 - Add the two like fractions:
140/210 + 192/210 = 140 + 192/210 = 332/210 - 332/210 simplified gives 166/105
- So, 20/30 + 32/35 = 166/105
In mixed form: 161/105
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