### All SSAT Upper Level Math Resources

## Example Questions

### Example Question #11 : How To Find Decimal Fractions

Convert to a fraction.

**Possible Answers:**

**Correct answer:**

Lets try to get these values into whole numbers. To do that, we need to make sure both numerator and denominator are whole numbers and we will look for the number with the most decimal places. This is found in the numerator. To get it into a whole number, we will multiply by or move the decimal places to the right. When you do that for the numerator, the same applies for the denominator. The new fraction is . Just reduce the fraction by factoring out a and the answer is shown.

### Example Question #12 : How To Find Decimal Fractions

What's the answer in decimal form?

**Possible Answers:**

**Correct answer:**

Convert each fraction to decimal. We have and . Add these values. Remember when adding decimals, make sure the decimal places are all lined up.

### Example Question #13 : How To Find Decimal Fractions

Convert into a simplified fraction.

**Possible Answers:**

**Correct answer:**

Lets place a under the decimal. We are going to make a fraction. Essentially, it's still the same value. Now, we want a whole number in the numerator and what we do to the numerator is done to the denominator as well. Lets multiply the top by or move the decimal place spots to the right. Now we have . This needs to be reduced, so divide by twice until it can't be reduced any further. The answer should be .

### Example Question #14 : How To Find Decimal Fractions

Convert to a fraction.

**Possible Answers:**

**Correct answer:**

First, lets convert the exponent into a fraction. Any negative exponent means it's the reciprocal of the positive exponent. So means . Now lets multiply it with the . This means or or .

### Example Question #15 : How To Find Decimal Fractions

Convert into a fraction.

**Possible Answers:**

**Correct answer:**

Let be .

Lets multiply by . Now we have:

Lets subtract this equation with the first one and we get:

We do this because we want to get rid of the repeating decimals and now we have a simple equation, isolate and we arrive at the final answer.

### Example Question #16 : How To Find Decimal Fractions

Convert into a fraction.

**Possible Answers:**

**Correct answer:**

Let be .

Lets multiply by . I chose , because there is a set of numbers that make the repeating decimal. To determine the value to multiply the repeating decimal, we do to the power of number in a set before it repeats.

Now we have:

Lets subtract this equation with the first one and we get:

We do this because we want to get rid of the repeating decimals and now we have a simple equation, isolate and we arrive at the final answer.

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