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Mathematics

Grade6

Easy

Question

One roll ribbon is $8 fraction numerator 3 over denominator 4 end fraction m$ long. Shelly has six full rolls and one-fourth of another roll. ________meters of ribbon Shelly has in total.

$34 \frac{11}{16}$ meters
$54 \frac{11}{16}$ meters
$56 \frac{11}{16}$ meters
$64 \frac{11}{16}$ meters

hint Hint:

To find the total length of all rolls of ribbon, we multiply the length of each roll of ribbon and number of rolls.

The correct answer is: $54 fraction numerator 11 over denominator 16 end fraction$ meters

Number of Rolls = $space 6 1 fourth space equals space fraction numerator left parenthesis 6 cross times 4 right parenthesis plus 1 over denominator 4 end fraction space equals 25 over 4$ rolls
Length of ribbon in each roll = $8 3 over 4 m space equals fraction numerator left parenthesis 8 cross times 4 right parenthesis plus 3 over denominator 4 end fraction space equals 35 over 4 space m$
Number of meters of ribbon Shelly has in total $equals 8 fraction numerator 3 over denominator 4 end fraction cross times 6 fraction numerator 1 over denominator 4 end fraction$
$equals fraction numerator 35 over denominator 4 end fraction cross times fraction numerator 25 over denominator 4 end fraction$
$equals fraction numerator 875 over denominator 16 end fraction equals 54 fraction numerator 11 over denominator 16 end fraction$ meters
Therefore, the total length of ribbon in meters = $54 11 over 16$ meters.

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