Add 45/14 and 10/45, Solve 3 3/14 + 10/45 as a fraction

Add 45/14 and 10/45

1^st number: 3 3/14, 2^nd number: 10/45

45/14 + 10/45 is 433/126.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 45 is 630

Next, find the equivalent fraction of both fractional numbers with denominator 630
For the 1st fraction, since 14 × 45 = 630,
45/14 = 45 × 45/14 × 45 = 2025/630
Likewise, for the 2nd fraction, since 45 × 14 = 630,
10/45 = 10 × 14/45 × 14 = 140/630
Add the two like fractions:
2025/630 + 140/630 = 2025 + 140/630 = 2165/630
2165/630 simplified gives 433/126
So, 45/14 + 10/45 = 433/126
In mixed form: 355/126

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