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2 years ago

Derick studied 13 1/2 hours this week for a spelling bee. Write the number of hours as a decimal.

Mathematics

1 answer:

serg [7]2 years ago

3 0

Answer:

13.5

Step-by-step explanation:

When you convert fraction numbers to decimal numbers, remember they are written like this:

whole . parts

In 13 1/2, you have 13 wholes and 1/2 parts. The decimal number would look like 13 . parts

To find the decimal for 1/2, put into your calculator <u>1 ÷ 2</u>. The answer will be 0.5 Write "5" for parts. The decimal where 0.5 is will line up with the decimal in the decimal number.

13.5

Derek studied 13.5 hours for the spelling bee.

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3 years ago

Jimmy's backyard is rectangle that is 18 5/6 yards long and 10 2/5 yards wide Jim buy sod in pieces that are 1 1/3 yard long and

g100num [7]

Answer:

111 pieces of soda

Step-by-step explanation:

step 1

Find the area of the rectangular backyard

The area of the rectangular backyard is equal to

$A=LW$

where

$L=18\frac{5}{6}\ yd=\frac{18*6+5}{6}=\frac{113}{6}\ yd$

$W=10\frac{2}{5}\ yd=\frac{10*5+2}{5}=\frac{52}{5}\ yd$

substitute

$A=(\frac{113}{6})(\frac{52}{5})$

$A=\frac{5,876}{30}\ yd^2$

step 2

Find the area of one piece of sod

The area of the rectangular piece of sod is

$A=LW$

where

$L=1\frac{1}{3}\ yd=\frac{1*3+1}{3}=\frac{4}{3}\ yd$

$W=1\frac{1}{3}\ yd=\frac{1*3+1}{3}=\frac{4}{3}\ yd$

substitute

$A=(\frac{4}{3})^2\\\\A=\frac{16}{9}\ yd^2$

step 3

Find the pieces of sod needed

To find out how many whole pieces of sod will Jim need to buy to cover his backyard, divide the area of the backyard by the area of one piece of soda

$\frac{5,876}{30} : \frac{16}{9}=\frac{52,884}{480}=110.175$

Round up

111 pieces of soda

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2 years ago