Add 35/14 and 4/45, Solve 2 7/14 + 4/45 as a fraction

Add 35/14 and 4/45

1^st number: 2 7/14, 2^nd number: 4/45

35/14 + 4/45 is 233/90.

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,
35/14 = 35 × 45/14 × 45 = 1575/630
Likewise, for the 2nd fraction, since 45 × 14 = 630,
4/45 = 4 × 14/45 × 14 = 56/630
Add the two like fractions:
1575/630 + 56/630 = 1575 + 56/630 = 1631/630
1631/630 simplified gives 233/90
So, 35/14 + 4/45 = 233/90
In mixed form: 253/90

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