Add 30/32 and 40/70
30/32 + 40/70 is 169/112.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 70 is 1120
Next, find the equivalent fraction of both fractional numbers with denominator 1120 - For the 1st fraction, since 32 × 35 = 1120,
30/32 = 30 × 35/32 × 35 = 1050/1120 - Likewise, for the 2nd fraction, since 70 × 16 = 1120,
40/70 = 40 × 16/70 × 16 = 640/1120 - Add the two like fractions:
1050/1120 + 640/1120 = 1050 + 640/1120 = 1690/1120 - 1690/1120 simplified gives 169/112
- So, 30/32 + 40/70 = 169/112
In mixed form: 157/112
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