Add 1/7 and 48/45
1st number: 1/7, 2nd number: 1 3/45
1/7 + 48/45 is 127/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 7 × 45 = 315,
1/7 = 1 × 45/7 × 45 = 45/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
48/45 = 48 × 7/45 × 7 = 336/315 - Add the two like fractions:
45/315 + 336/315 = 45 + 336/315 = 381/315 - 381/315 simplified gives 127/105
- So, 1/7 + 48/45 = 127/105
In mixed form: 122/105
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