QuestionAugust 26, 2025

Subtract and Simplify (6)/(5)-(3)/(35)=square

Subtract and Simplify (6)/(5)-(3)/(35)=square
Subtract and Simplify
(6)/(5)-(3)/(35)=square

Solution
4.7(145 votes)

Answer

\frac{39}{35} Explanation 1. Find a common denominator The least common multiple of 5 and 35 is 35. 2. Convert fractions to have the common denominator \frac{6}{5} = \frac{6 \times 7}{5 \times 7} = \frac{42}{35}; \frac{3}{35} remains unchanged. 3. Subtract the fractions \frac{42}{35} - \frac{3}{35} = \frac{42 - 3}{35} = \frac{39}{35}. 4. Simplify the fraction \frac{39}{35} is already in simplest form.

Explanation

1. Find a common denominator<br /> The least common multiple of 5 and 35 is 35.<br />2. Convert fractions to have the common denominator<br /> $\frac{6}{5} = \frac{6 \times 7}{5 \times 7} = \frac{42}{35}$; $\frac{3}{35}$ remains unchanged.<br />3. Subtract the fractions<br /> $\frac{42}{35} - \frac{3}{35} = \frac{42 - 3}{35} = \frac{39}{35}$.<br />4. Simplify the fraction<br /> $\frac{39}{35}$ is already in simplest form.
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