Add 75/16 and 42/27
1st number: 4 11/16, 2nd number: 1 15/27
75/16 + 42/27 is 899/144.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 27 is 432
Next, find the equivalent fraction of both fractional numbers with denominator 432 - For the 1st fraction, since 16 × 27 = 432,
75/16 = 75 × 27/16 × 27 = 2025/432 - Likewise, for the 2nd fraction, since 27 × 16 = 432,
42/27 = 42 × 16/27 × 16 = 672/432 - Add the two like fractions:
2025/432 + 672/432 = 2025 + 672/432 = 2697/432 - 2697/432 simplified gives 899/144
- So, 75/16 + 42/27 = 899/144
In mixed form: 635/144
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