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Add the fractions.

 
7/15 + 5/6
= 14/30 + 25/30 {got a common denominator of 30}
= 39/30 {combined numerators over common denominator}
= 13/10 {reduced}

© Algebra House

Solve using a proportion.

In a school having 990 students, 12 out of 27 are girls.
How many boy students are there?

If 12 out of 27 are girls,
then 15 out of 27 are boys.
There are 990 total. 


15 boys / 27 total = x boys / 990 total {set up a proportion}
27x = 15(990) {cross-multiplied}
27x = 14,850 {multiplied 15 by 990}
x = 550 {divided both sides by 27} 

there are 550 boys 

© Algebra House

Find 3% of 240,000 

3% of 240,000
  = (.03)(240,000)
 {changed decimal to percent by moving
decimal point left two places}


= 7,200 {multiplied} 

© Algebra House


Simplify with the order of operations.


-32 + 3[12 ÷ (5 - 8)]
= -32 + 3[12 ÷ (-3)] {subtracted 5 - 8}
= -32 + 3(-4) {divided 12 by -3}
= -32 - 12 {multiplied 3 by -4}
= - 44 {subtracted}

© Algebra House

Solve using a proportion.

Jose drove miles 715 in 11 hours.
At the same rate, how long would it take him to drive 325 miles?

715 miles / 11 hours = 325 miles / x hours {set up a proportion}
715x = 11(325) {cross-multiplied}
715x = 3,575 {multiplied 11 by 325}
x = 5 {divided 3,575 by 715} 

It will take him 5 hours

© Algebra House

Find the percent

60% of 3900 

Change 60% to a decimal by moving decimal point left two places,
then multiply it by 3900. 

60% of 3900
= 0.6 x 3900 {changed 60% to a decimal}
  = 2,340 {multiplied} 

© Algebra House
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