### All ACT Math Resources

## Example Questions

### Example Question #1 : Decimals

When 5/11 is written as a decimal, what is the 100th digit to the right of the decimal point?

**Possible Answers:**

2

1

0

5

4

**Correct answer:**

5

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).

### Example Question #1 : Decimals With Fractions

Find the sum of the following:

**Possible Answers:**

**Correct answer:**

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

### Example Question #3 : How To Find The Decimal Equivalent Of A Fraction

Find the sum to the nearest hundredth:

**Possible Answers:**

**Correct answer:**

1. Convert the fractions to decimals by division:

2. Add the corresponding whole numbers to the decimals:

3. Add the two decimals:

### Example Question #1 : Decimals

If , can equal which of the following?

**Possible Answers:**

None of the other answer choices are correct

**Correct answer:**

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.

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