Question

1. 1/3 - 7/8rewrite the complex fraction as a division expressionshow the complex fraction in simplest form. 2. The lions won 35 out of 40 games this season. What fraction of the games did the lions win? Write your answer in simplest form.Write a decimal and a percent equivalent to the fraction of games the lions won.3. Stephanie had $325.48 in her checking account. She made deposits of $28.35 and $78.88A. How much money was in Stephanie's account after the deposits? B. Stephanie also wrote one check for $107.85. How much money is in her account now?4. Mr. and Mrs Thomas are planning to build a fence around their garden. They are comparing different measurements for their plans. (Plan A: Posts are 4 1/4 feet in length. Posts must be installed 7/8 feet below ground level.)(Plan B: Posts are 6 3/4 feet in length. Posts must be installed 1 and 1/2 feet below ground level.)A. What will be the height of the fence in Plan A?B. What will be the height of the fence in Plan B?C. Which fence would be taller and by how much?D. Mr and Mrs Thomas decide to go with Plan A. Their total bill is $356.88. If they pay 220 in cash and charge the remainder, How much did they charge??

Answer 1

1. 1/3 - 7/8

rewrite the complex fraction as a division expression

show the complex fraction in simplest form.

step 1

we have

`\begin{gathered} (1)/(3)-(7)/(8) \\ \end{gathered}`

Multiply the first term by 8/8

so

(1/3)*(8/8)=8/24

Multiply the second term by 3/3

(7/8)*(3/3)=21/24

step 2

substitute in the original expression

8/24 -21/24

the fractions have the same denominator

so

(8-21)/24

-13/24

therefore

the answer is

-13/24