Write the mixed number as an improper fraction. $5 \frac { 2 } { 3 }$
A) $5$
B) $\frac { 2 } { 3 }$
C) $\frac { 3 } { 2 }$
D) $\frac { 17 } { 3 }$
E) $\frac { 13 } { 3 }$

Question

Quizplus · Accepted Answer

To convert a mixed number to an improper fraction, we multiply the whole number by the denominator and then add the numerator. So, for $5 \frac { 2 } { 3 }$, we have:
$$5\frac{2}{3}=5+\frac{2}{3}=5\cdot3+\frac{2}{3}=\frac{15}{1}+\frac{2}{3}=\frac{(15\cdot3)+2}{3}=\frac{47}{3}$$
Thus, the improper fraction is $\frac{47}{3}$, which corresponds to choice D.

Write the Mixed Number as an Improper Fraction 5235 \frac { 2 } { 3 }532​

Write the Mixed Number as an Improper Fraction $5 \frac { 2 } { 3 }$