When 5 is divided by 11, the decimal is 0.45 repeating, with a 5 in the hundreths place. The key here is to recognize that 100 is an even number, and the 5 in 0.45 is two places to the right of the decimal point (2 also being an even number).

To get the decimal from a fraction, divide the numerator by the denominator

\(\displaystyle \frac{1}{8}=0.125\)

\(\displaystyle 5\frac{1}{8}=5.125\)

\(\displaystyle \frac{3}{16}=0.1875\)

\(\displaystyle 6\frac{3}{16}=6.1875\)

\(\displaystyle 5.125+6.1875=11.3125\)

1. Convert the fractions to decimals by division:

\(\displaystyle \frac{3}{8}=0.375\)

\(\displaystyle \frac{17}{40}=0.425\)

2. Add the corresponding whole numbers to the decimals:

\(\displaystyle 13+0.375=13.375\)

\(\displaystyle 12+0.425=12.425\)

3. Add the two decimals:

\(\displaystyle 13.375 + 12.425 = 25.8\)

Convert all of the fractions to decimals. Thus, x is contained within the range of 0.33 < x < 0.76. The answers choices become 1/4 = 0.25, 4/12 = 0.33, 2/5 = 0.4, and 5/16 = 0.3125, respectively.  Therefore, the only answer which is within the desired range is 2/5.

Begin by multiplying all of your decimal fractions by \(\displaystyle \frac{100}{100}\):

\(\displaystyle 0.35+\frac{0.75}{0.2}*\frac{100}{100}-0.4*\frac{0.5}{0.1}*\frac{100}{100}\)

Simplify:

\(\displaystyle 0.35+\frac{75}{20}-0.4*\frac{50}{10}=0.35+\frac{15}{4}-0.4*5\)

Now perform the multiplication:

\(\displaystyle 0.35+\frac{15}{4}-2\)

The easiest thing to do next is to subtract \(\displaystyle 2\) from \(\displaystyle 0.35\):

\(\displaystyle 0.35+\frac{15}{4}-2=\frac{15}{4}-1.65\)

Next, convert \(\displaystyle 1.65\) into the fraction \(\displaystyle \frac{165}{100}\):

\(\displaystyle \frac{15}{4}-\frac{165}{100}\)

Now, the common denominator can be \(\displaystyle 100\):

\(\displaystyle \frac{15}{4}*\frac{25}{25}-\frac{165}{100}=\frac{375}{100}-\frac{165}{100}\)

Simplify:

\(\displaystyle \frac{375}{100}-\frac{165}{100}=\frac{210}{100}=\frac{21}{10}\)

0.825 in fraction form is \(\displaystyle \frac{825}{1000}\).  Simplifying the fraction equals \(\displaystyle \frac{33}{40}\).

We need to convert \(\displaystyle 0.48\) into a fraction.

To do this, write down \(\displaystyle \frac{0.48}{1}\)

Now, because the decimal goes to the hundreth place, multiply the numerator and denominator of the fraction by 100.

\(\displaystyle \frac{0.48\times100}{1\times100}=\frac{48}{100}\)

Now, simplify the fraction.

\(\displaystyle \frac{48}{100}=\frac{24}{50}\)

To begin with, it is easiest just to add these decimals together using your calculator:

\(\displaystyle 0.5+1.75+15=17.25\)

Now, this is the same thing as:

\(\displaystyle 17 + 0.25\)

We can rewrite this:

\(\displaystyle 17 + \frac{1}{4}\)

To find this, you need to give the two numbers a common denominator:

\(\displaystyle 17 + \frac{1}{4} = \frac{68}{4}+\frac{1}{4}=\frac{69}{4}\)

This is your answer.

In decimal form \(\displaystyle 0.33\) is said 33 hundredths.

This is equal to

\(\displaystyle \frac{33}{100}\).

This fraction cannot be reduced any further therefore it is in its final answer form.

.45 is equivalent to 45 out of 100, or \(\displaystyle \frac{45}{100}\).

Divide both the numerator and denominator by 5 to simplify the fraction: 

\(\displaystyle \frac{9}{20}\)