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$Evaluate the expression shown below and write your answer as a fraction in simplest form. (7)/(10)-(3)/(8) Answer:$

Evaluate the expression shown below and write your answer as a fraction in simplest form. $\newline$ $\frac{7}{10}-\frac{3}{8}$ $\newline$ Answer:

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Roots of rational numbers

Full solution

Q. Evaluate the expression shown below and write your answer as a fraction in simplest form.

\newline

\frac{7}{10}-\frac{3}{8}

\newline

Answer:

Find Common Denominator: Find a common denominator for the fractions $(\frac{7}{10})$ and $(\frac{3}{8})$ . The least common multiple (LCM) of $10$ and $8$ is $40$ , so we will use $40$ as the common denominator.
Convert to Equivalent Fractions: Convert each fraction to an equivalent fraction with a denominator of $40$ . For $(\frac{7}{10})$ , we multiply the numerator and denominator by $4$ to get $(\frac{7\times4}{10\times4}) = \frac{28}{40}$ . For $(\frac{3}{8})$ , we multiply the numerator and denominator by $5$ to get $(\frac{3\times5}{8\times5}) = \frac{15}{40}$ .
Subtract Equivalent Fractions: Subtract the two equivalent fractions. $\newline$ $(\frac{28}{40}) - (\frac{15}{40}) = \frac{28 - 15}{40} = \frac{13}{40}$ .
Check for Simplification: Check if the resulting fraction can be simplified further. The numerator $13$ and the denominator $40$ have no common factors other than $1$ , so the fraction is already in its simplest form.

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