Question

name
mixed fract
a mixed fraction, or mixed number, is a whole number and a proper fraction com
these fractions can also be written as improper fractions.
to convert a mixed fraction to an improper fraction, follow the steps below.

1. multiply the whole number part by the fractions denominator.
2. add that to the numerator.
3. then write the result on top of the denominator.

example: convert $3\frac{2}{5}$ to an improper fraction.
multiply the whole number by the denominator: $3 \times 5 = 15$
add the numerator to that: $15 + 2 = 17$
then write that down above the denominator, like this: $\frac{17}{5}$
convert the following mixed numbers to improper fractions.
write your answer on the line next to each problem.

1. $5\frac{1}{3} = $ ____ 6) $2\frac{1}{2} = $ __ 11) $9\frac{1}{5} = $ ____
2. $2\frac{1}{8} = $ ____ 7) $3\frac{1}{4} = $ __ 12) $6\frac{1}{2} = $ ____
3. $3\frac{1}{4} = $ ____ 8) $6\frac{1}{10} = $ __ 13) $5\frac{4}{9} = $ ____
4. $3\frac{2}{9} = $ ____ 9) $5\frac{7}{10} = $ __ 14) $9\frac{2}{3} = $ ____
5. $9\frac{3}{8} = $ ____ 10) $9\frac{1}{2} = $ __ 15) $2\frac{3}{8} = $ ____

Explanation:

Problem 1: \( 5\frac{1}{3} \)

Step1: Multiply whole number and denominator

\( 5 \times 3 = 15 \)

Step2: Add numerator to the result

\( 15 + 1 = 16 \)

Step3: Write over original denominator

\( \frac{16}{3} \)

Step1: Multiply whole number and denominator

\( 2 \times 8 = 16 \)

Step2: Add numerator to the result

\( 16 + 1 = 17 \)

Step3: Write over original denominator

\( \frac{17}{8} \)

Step1: Multiply whole number and denominator

\( 3 \times 4 = 12 \)

Step2: Add numerator to the result

\( 12 + 1 = 13 \)

Step3: Write over original denominator

\( \frac{13}{4} \)

Answer:

\( \frac{16}{3} \)

Problem 2: \( 2\frac{1}{8} \)