SAT Math - Fractions | Practice Hub

4/5 + 7/3 + 9/30 = ?

103 / 30

20 / 38

20 / 30

80 / 30

30 / 100

Explanation

To add fractions you must first find the lease common denominator, that is, a number that all of the denominators (the bottom number) can divide into.

In this case, 5, 3, and 30, both 5 and 3 divide successfully into 30, so 30 is the least common denominator.

Now divide each smaller denominator into thirty. Then multiple the answer by the top number:

5/30 = 6

Therefore 4/5 = 4*6 / 5*6 = 24/30

3/30 = 10

Therefore 7*10 / 3*10 = 70/30

Then add all the numerators together:

24/30 + 70/30 +9/30 = (24+70+9)/30 = 103 / 30

For every 5 glasses of lemonade, Bud earns $2. How many glasses must he sell to earn $24?

Explanation

We can set up a simple proportion to solve this. For every 5 glasses, Bud gets $2. For every x glasses, he earns $24.

$\frac{5}{2}=\frac{x}{24}$

Find answer in simplified fraction form:

$\left (\frac{3.75}{8}\right ) \left (\frac{2.54}{5} \right )=$

$\frac{381}{1600}$

$\frac{1905}{8000}$

$\frac{576}{801}$

$\frac{423}{1751}$

Explanation

$\left (\frac{3.75}{8}\right ) \left (\frac{2.54}{5} \right )=$

Multiply both the numerators or denominators by 100 to eliminate the decimals

$\left ( \frac{375}{800} \right ) \left ( \frac{254}{500} \right )=$

Simplify both fractions

$\left ( \frac{15}{32} \right ) \left ( \frac{127}{250} \right )=$

Multiply the numerators and multiply the denominators and simplify the fraction by dividing both the numerator and denominator by 5.

$\left ( \frac{1905}{8000} \right )= \left ( \frac{381}{1600} \right )$

4/5 + 7/3 + 9/30 = ?

103 / 30

20 / 38

20 / 30

80 / 30

30 / 100

Explanation

To add fractions you must first find the lease common denominator, that is, a number that all of the denominators (the bottom number) can divide into.

In this case, 5, 3, and 30, both 5 and 3 divide successfully into 30, so 30 is the least common denominator.

Now divide each smaller denominator into thirty. Then multiple the answer by the top number:

5/30 = 6

Therefore 4/5 = 4*6 / 5*6 = 24/30

3/30 = 10

Therefore 7*10 / 3*10 = 70/30

Then add all the numerators together:

24/30 + 70/30 +9/30 = (24+70+9)/30 = 103 / 30

Which of the following fractions is between 0.2 and 0.3?

$\dpi{100} \small \frac{1}{4}$

$\dpi{100} \small \frac{1}{6}$

$\dpi{100} \small \frac{1}{3}$

$\dpi{100} \small \frac{1}{2}$

$\dpi{100} \small \frac{2}{3}$

Explanation

$\dpi{100} \small \frac{1}{4}=0.25$

$\dpi{100} \small 0.2<0.25<0.3$

$\dpi{100} \small \frac{1}{6}\approx 0.167<0.2$

The other three choices are larger than 0.3.

Which of the following fractions is less than $\frac{3}{8}$ ?

$\frac{1}{3}$

$\frac{6}{16}$

$\frac{4}{7}$

$\frac{1}{2}$

$\frac{5}{13}$

Explanation

The purpose of this question is to find understandable values of fractions, which must be done using a common scale. Since looking at the denominators in the answers shows that there are many different numbers, decimal values would be easier to use.

The decimal equivalencies are as follows:

$\frac{6}{16}=0.375$