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

(4)/(3)+(2)/(7)=(28)/(21)+(14)/(21)=◻(42)/(21)

Complete the equation. Write the sum as a mixed number. $\newline$ $\frac{4}{3}+\frac{2}{7}=\frac{28}{21}+\frac{14}{21}=\square \frac{42}{21}$

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Multiplication with rational exponents

Full solution

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

\newline

\frac{4}{3}+\frac{2}{7}=\frac{28}{21}+\frac{14}{21}=\square \frac{42}{21}

Find Common Denominator: Step $1$ : Find a common denominator for the fractions $(\frac{4}{3})$ and $(\frac{2}{7})$ . The least common multiple of $3$ and $7$ is $21$ . Convert $(\frac{4}{3})$ to $(\frac{28}{21})$ and $(\frac{2}{7})$ to $(\frac{6}{21})$ . Calculation: $(\frac{4}{3}) = (\frac{4\times7}{3\times7}) = (\frac{28}{21})$ , $(\frac{2}{7})$ $0$
Add Fractions: Step $2$ : Add the fractions with the common denominator. $\newline$ Add $(\frac{28}{21})$ and $(\frac{6}{21})$ to get $(\frac{34}{21})$ . $\newline$ Calculation: $(\frac{28}{21}) + (\frac{6}{21}) = \frac{28+6}{21} = (\frac{34}{21})$
Convert to Mixed Number: Step $3$ : Convert the improper fraction $(\frac{34}{21})$ to a mixed number. $\newline$ Divide $34$ by $21$ to get $1$ with a remainder of $13$ . $\newline$ Calculation: $34 \div 21 = 1 \, R13$ , so $(\frac{34}{21}) = 1 \frac{13}{21}$

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