Add 40/48 and 49/50
40/48 + 49/50 is 136/75.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 50 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 48 × 25 = 1200,
40/48 = 40 × 25/48 × 25 = 1000/1200 - Likewise, for the 2nd fraction, since 50 × 24 = 1200,
49/50 = 49 × 24/50 × 24 = 1176/1200 - Add the two like fractions:
1000/1200 + 1176/1200 = 1000 + 1176/1200 = 2176/1200 - 2176/1200 simplified gives 136/75
- So, 40/48 + 49/50 = 136/75
In mixed form: 161/75
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