ISEE Lower Level Quantitative Reasoning - Fractions

$29\frac{5}{13}-8\frac{2}{13}$

$21\frac{3}{13}$

$22\frac{3}{13}$

$23\frac{3}{13}$

$21\frac{7}{13}$

$22\frac{7}{13}$

Explanation

When we subtract mixed numbers, we subtract whole numbers by whole numbers and fractions by fractions.

$\frac{5}{13}-\frac{2}{13}=\frac{3}{13}$

Remember, when we are subtracting fractions we must have common denominators and we only subtract the numerators.

$13\frac{1}{3}+7\frac{1}{3}$

$20\frac{2}{3}$

$19\frac{2}{3}$

$18\frac{2}{3}$

$21\frac{2}{3}$

$22\frac{2}{3}$

Explanation

When we add mixed numbers, we add whole numbers to whole numbers and fractions to fractions.

$\frac{1}{3}+\frac{1}{3}=\frac{2}{3}$

Remember, when we are adding fractions we must have common denominators and we only add the numerators.

$36\frac{3}{4}-16\frac{2}{4}$

$20\frac{1}{4}$

$19\frac{1}{4}$

$19\frac{2}{4}$

$20\frac{2}{4}$

$52\frac{6}{4}$

Explanation

When we subtract mixed numbers, we subtract whole numbers by whole numbers and fractions by fractions.

$\frac{3}{4}-\frac{2}{4}=\frac{1}{4}$

Remember, when we are subtracting fractions we must have common denominators and we only subtract the numerators. n

Which fraction is the smallest?

$\dpi{100} \frac{1}{8}$

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

$\dpi{100} \frac{3}{4}$

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

Explanation

Fractions get smaller as the numerator (top number) gets smaller, and the denominator (bottom number) gets bigger. $\dpi{100} \frac{1}{8}$ has the smallest numerator AND the largest denominator of any of the fractions.

In the number 1,063.8042, what place value is the 2 in?

ten thousandths

ones

thousandths

tenths

hundredths

Explanation

From left to right, let's begin with the numbers coming after (or to the right of) the decimal point.

.8042

8 is in the tenths place

0 is in the hundredths place

4 is in the thousandths place

2 is in the ten thousandths place

Write as a fraction.

$\frac{1}{5}$

$\frac{1}{4}$

$\frac{2}{5}$

$\frac{2}{9}$

Explanation

Rewrite as $\frac{2}{10}$ .

Reduce the fraction:

$\frac{1}{5}$

Convert this fraction to a decimal:

$\frac{4}{7}$

(round to three decimals)

Explanation

To convert to a decimal, you must get the denominator to equal .

Since

, you must also multiple by this.

This results in a value of and you move the decimal over two spaces to the left by dividing by leaving you with .

Another approach is to set up the following long division.

$7)\overline{4.0}$

by adding a zero we now can figure how many times seven goes into fourty.

$7)\overline{4.0\ \ \ }$

$\underline{-3.5}$

$\underline{-0.49}$

$\underline{-0.007}$

What is the decimal equivalent of $\frac{6}{25}$ ?

Explanation

In order to find the decimal equivalent of $\frac{6}{25}$ , convert it to $\frac{x}{100}$ . Given that 100 is 4 times greater than 25, it follows that x will be 4 times greater than 6. This gives us