### All ACT Math Resources

## Example Questions

### Example Question #1 : Operations And Fractions

What value of makes the equation true?

**Possible Answers:**

**Correct answer:**

We can simply cross multiply to obtain and divide by 8 to solve for .

### Example Question #2 : Operations And Fractions

Simplfiy the following expression;

**Possible Answers:**

**Correct answer:**

Multiply the numerators 2 x 6 x 4 = 48. Then multiply the denominators 3 x 8 x 12 = 288. The answer is 48/288. To simplify, divide both numerator and denominator by 48 to get 1/6.

### Example Question #3 : Operations And Fractions

Evaluate –3^{–2 }* 2^{–3}.

**Possible Answers:**

**Correct answer:**

Because the exponents are negative, we can convert –3^{–2}^{ }to ^{1}/_{9} and 2^{–3}^{ }to ^{1}/_{8}. We then multiply straight across the top and the bottom, giving you ^{1}/_{72}.

### Example Question #4 : Operations And Fractions

Simplify the following into one fraction

**Possible Answers:**

**Correct answer:**

To multiply fractions you multiply the entire numerator and the entire denominator together. However, before we do that we can cancel anything from the denominator with anything in the numerator.

Six cancels with 12

5 cancels with 25

multiply it all out and get

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