Madelyn made strawberry jam and raspberry jam. She made enough strawberry jam to fill 2 3/5 jars. If she made 3 3/4 times as much raspberry jam as strawberry jam, how many jars will the raspberry jam fill? Write your answer as a fraction or as a whole or mixed number. _____ jars

Convert to Improper Fractions: Convert the mixed numbers to improper fractions for easier multiplication. 2 3/5 = (5*2 + 3)/5 = 13/5 3 3/4 = (4*3 + 3)/4 = 15/4 Calculation: 13/5 and 15/4 are now improper fractions.Multiply for Raspberry Jam: Multiply the amount of strawberry jam by the factor to find the amount of raspberry jam. 13/5 * 15/4 = (13*15)/(5*4) = 195/20 Calculation: Multiplying the numerators and denominators.Simplify to Mixed Number: Simplify the fraction 195/20 to a mixed number. 195/20 = 9 15/20 = 9 3/4 (since 15/20 simplifies to 3/4) Calculation: Dividing 195 by 20 gives 9 remainder 15; simplify 15/20 to 3/4.

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Madelyn made strawberry jam and raspberry jam. She made enough strawberry jam to fill $2\frac{3}{5}$ jars. If she made $3\frac{3}{4}$ times as much raspberry jam as strawberry jam, how many jars will the raspberry jam fill? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ $\_\_\_$ jars

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Grade 6

Multiply mixed numbers: word problems

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Q. Madelyn made strawberry jam and raspberry jam. She made enough strawberry jam to fill

2\frac{3}{5}

jars. If she made

3\frac{3}{4}

times as much raspberry jam as strawberry jam, how many jars will the raspberry jam fill?

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

\_\_\_

jars

Convert to Improper Fractions: Convert the mixed numbers to improper fractions for easier multiplication. $\newline$ $2 \frac{3}{5} = (5\times2 + 3)/5 = \frac{13}{5}$ $\newline$ $3 \frac{3}{4} = (4\times3 + 3)/4 = \frac{15}{4}$ $\newline$ Calculation: $\frac{13}{5}$ and $\frac{15}{4}$ are now improper fractions.
Multiply for Raspberry Jam: Multiply the amount of strawberry jam by the factor to find the amount of raspberry jam. $\newline$ $\frac{13}{5} \times \frac{15}{4} = \frac{13\times15}{5\times4} = \frac{195}{20}$ $\newline$ Calculation: Multiplying the numerators and denominators.
Simplify to Mixed Number: Simplify the fraction $195/20$ to a mixed number. $\newline$ $195/20 = 9 \frac{15}{20} = 9 \frac{3}{4}$ (since $15/20$ simplifies to $3/4$ ) $\newline$ Calculation: Dividing $195$ by $20$ gives $9$ remainder $15$ ; simplify $15/20$ to $3/4$ .