Add 10/42 and 48/45
1st number: 10/42, 2nd number: 1 3/45
10/42 + 48/45 is 137/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 45 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 42 × 15 = 630,
10/42 = 10 × 15/42 × 15 = 150/630 - Likewise, for the 2nd fraction, since 45 × 14 = 630,
48/45 = 48 × 14/45 × 14 = 672/630 - Add the two like fractions:
150/630 + 672/630 = 150 + 672/630 = 822/630 - 822/630 simplified gives 137/105
- So, 10/42 + 48/45 = 137/105
In mixed form: 132/105
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