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makvit [3.9K]
3 years ago
14

1 7/10 x 2/3 what is the product

Mathematics
1 answer:
Ludmilka [50]3 years ago
7 0

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{1 \frac{2}{15}}}}}}

Step-by-step explanation:

\sf{1 \frac{7}{10}  \times  \frac{2}{3} }

Convert the mixed number into improper fraction

\longrightarrow{ \sf{ \frac{10 \times 1 + 7}{10}  \times  \frac{2}{3}}}

\longrightarrow{ \sf{ \frac{17}{10}  \times  \frac{2}{3}}}

To multiply one fraction by another, multiply the numerators for the numerator, and multiply the denominator for its denominator and reduce the fraction obtained after multiplication into lowest term

\longrightarrow{ \sf{ \frac{17 \times 2}{10 \times 3}}}

\longrightarrow{ \sf{ \frac{34}{30}}}

\longrightarrow{ \sf{ \frac{17}{15} }}

Convert the improper fraction into mixed number

\longrightarrow{ \sf{1 \frac{2}{15} }}

Hope I helped!

Best regards! :D

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A rectangle and a square have the same perimeter. One side-length of the rectangle is $25\%$ longer than the other. What is the
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corrected question:

A rectangle and a square have the same perimeter. One side-length of the rectangle is 25% longer than the other. What is the ratio between the areas of the rectangle and the square?

Answer:

ratio of area of recatngle to square= 0.9879

Step-by-step explanation:

perimeter of rectangle = 2(L+B)

perimeter of a square =4L_(s)

L=B+0.25B

L=1.25B

4L_(s)= 2(L+B)

4L_(s)= 2(1.25B+B)

4L_(s)= 2(2.25B)

4L_(s)= 4.5B

B= 4/4.5 L_(s)

B= 0.889 L_(s)       ..........equ1

area of square =L_(s)^{2}

area of rectangle = L*B

                           =1.25B*B=1.25B^{2}

ratio of area of recatngle to square =\frac{1.25B^{2} }{L_{s} ^{2}}

referring to equ 1

ratio of area of recatngle to square = \frac{1.25* (0.889L_{s}) ^{2} }{L_{s} ^{2}}

=\frac{ 0.9879L_{s} ^{2} }{L_{s} ^{2}}

ratio of area of recatngle to square= 0.9879

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