Ellen took a panoramic picture that is 3 4/5 inches tall. The picture is 4 1/2 times as long as it is tall. How long is Ellen's picture? Write your answer as a fraction or as a whole or mixed number. _____ inches

Question

Ellen took a panoramic picture that is 3 4/5 inches tall. The picture is 4 1/2 times as long as it is tall. How long is Ellen's picture?  Write your answer as a fraction or as a whole or mixed number.  _____ inches

Bytelearn · Accepted Answer

Convert to Improper Fraction:  First, convert the height of the picture from a mixed number to an improper fraction. 3 4/5 inches can be converted by multiplying the whole number by the denominator of the fraction, adding the numerator, and placing the result over the original denominator.  Calculation: $3 \times 5 + 4 = 15 + 4 = 19$, so $3 \frac{4}{5}$ inches = $\frac{19}{5}$ inches.Calculate Picture Length:  Next, calculate the length of the picture by multiplying the height by 4 1/2. First, convert 4 1/2 to an improper fraction.  Calculation: $4 \times 2 + 1 = 8 + 1 = 9$, so $4 \frac{1}{2} = \frac{9}{2}$.Multiply Height and Length:  Now, multiply the height's improper fraction by the length's improper fraction to find the length of the picture. Calculation: $\frac{19}{5} \times \frac{9}{2} = \frac{171}{10}$.Convert to Mixed Number:  Convert the improper fraction $\frac{171}{10}$ to a mixed number to make it easier to understand.  Calculation: $171 \div 10 = 17$ remainder $1$, so $\frac{171}{10}$ inches = $17 \frac{1}{10}$ inches.

Ellen took a panoramic picture that is $3\frac{4}{5}$ inches tall. The picture is $4\frac{1}{2}$ times as long as it is tall. How long is Ellen's picture? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ _____ inches

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Ellen took a panoramic picture that is $3\frac{4}{5}$ inches tall. The picture is $4\frac{1}{2}$ times as long as it is tall. How long is Ellen's picture? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ _____ inches