Complete the equation. Write the sum as a mixed number. (7)/(5)+(3)/(8)=(◻)/(40)+(◻)/(40)=◻(◻)/(◻)

Find common denominator: Step 1: Find a common denominator for the fractions 7/5 and 3/8. Since the denominators are 5 and 8, the least common denominator (LCD) is 40.Convert fractions to LCD: Step 2: Convert each fraction to have the denominator of 40. 7/5 = (7*8)/(5*8) = 56/40 3/8 = (3*5)/(8*5) = 15/40Add fractions: Step 3: Add the two fractions. 56/40 + 15/40 = 71/40Convert to mixed number: Step 4: Convert the improper fraction to a mixed number. 71/40 = 1 31/40

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Complete the equation. Write the sum as a mixed number.

(7)/(5)+(3)/(8)=(◻)/(40)+(◻)/(40)=◻(◻)/(◻)

Complete the equation. Write the sum as a mixed number. $\newline$ $\frac{7}{5}+\frac{3}{8}=\frac{\square}{40}+\frac{\square}{40}=\square \frac{\square}{\square}$

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Precalculus

Operations with rational exponents

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Q. Complete the equation. Write the sum as a mixed number.

\newline

\frac{7}{5}+\frac{3}{8}=\frac{\square}{40}+\frac{\square}{40}=\square \frac{\square}{\square}

Find common denominator: Step $1$ : Find a common denominator for the fractions $\frac{7}{5}$ and $\frac{3}{8}$ . Since the denominators are $5$ and $8$ , the least common denominator (LCD) is $40$ .
Convert fractions to LCD: Step $2$ : Convert each fraction to have the denominator of $40$ . $\newline$ $\frac{7}{5} = \left(\frac{7\times8}{5\times8}\right) = \frac{56}{40}$ $\newline$ $\frac{3}{8} = \left(\frac{3\times5}{8\times5}\right) = \frac{15}{40}$
Add fractions: Step $3$ : Add the two fractions. $\frac{56}{40} + \frac{15}{40} = \frac{71}{40}$
Convert to mixed number: Step $4$ : Convert the improper fraction to a mixed number. $\frac{71}{40} = 1 \frac{31}{40}$