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den301095 [7]
3 years ago
7

Barry made the model to show multiplying a fraction by a fraction. Which multiplication sentence does the model show? A grid wit

h 3 rows of 6 columns showing 18 squares total. The 12 squares in the top two rows are shaded yellow, the 15 squares in the first 5 columns are shaded blue. The shading overaps to make green in 10 squares. 13×23=29 26×56=518 13×26=19 23×56=59
Mathematics
1 answer:
barxatty [35]3 years ago
5 0

Given:

Number of rows = 3

Number of columns = 6

Number of square boxes = 18

yellow square boxes in the top two rows = 12

Blue square boxes in the first 5 columns = 15

Number of green boxes (shading overlaps) = 10

To find:

The model to show multiplying a fraction by a fraction.

Solution:

2 rows out of 3 are shaded yellow.

Fraction for yellow = \dfrac{2}{3}

5 columns out of 6 are shaded blue.

Faction for blue = \dfrac{5}{6}

10 out of 18 squares are green.

Faction for green =  \dfrac{10}{18}=\dfrac{5}{9}

Now,

\dfrac{2}{3}\times \dfrac{5}{6}=\dfrac{10}{18}

\dfrac{2}{3}\times \dfrac{5}{6}=\dfrac{5}{9}

Therefore, the correct option is D.

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