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**Section - 1**

**For each of the following pairs of fractions, decide which fraction is larger.****Ques 1: ****Ans: **The denominators are the same, but the numerator of **Ques 2:** **Ans: **The numerators are the same, but the denominator of **Ques 3: ****Ans: **In the first fraction,53/52 , the numerator is bigger than the denominator, so the fraction is greater than 1. In the second fraction, 85/16 , the denominator is bigger than the numerator, so the fraction is less than 1. **Section - 2****A****dd or subtract the following fractions. Fractions should be in their most simplified form.****Ques 4: ****Ans: ****Ques 5: ****Ans: ****Ques 6: ****Ans: **

**Ques 7: ****Ans:**** ****Ques 8: Ans: **Because the denominators are the same, add the numerators and reduce.

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**Ques 14: 70/20.****Ans: ****Section - 4Convert the following mixed numbers to improper fractions.Ques 15: **

**Ques 19: ****Ans: **

**Section - 5****Simplify the following expressions.****Ques 20: Ans:**

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**Ques 26: Ans:**

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Because the numbers remaining inside the square roots have a factor of 3 in common, we can simplify even further:

Therefore:

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Alternatively, we can consider only one variable at a time and use other exponent rules to simplify:

To combine these into one fraction, we can put x

Place y in the denominator.

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âˆš2

Look to cancel common factors before multiplying. Remember you can cancel across fractions because they are being multiplied.

Now we can combine the roots in the numerator.

Now we need to simplify both fractions.

If you left the expressions as one fraction, then you could have factored a 2 out of each term in the expression:

Either version is correct.

Now we have a match. The correct answer is (C).

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Because the subtraction is taking place in the denominator, we must identify common factors and cancel. These terms have a common factor of 3xâˆš3 . Factor 3xâˆš3 out of the denominator.

Now we can cancel 3xâˆš3 from the numerator and denominator.

Simplify the following expressions. Final answers should be in their most simplified forms.

Because 3 and 7 share no common factors, the least common denominator is 3 x 7 = 21.

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Ques 46:

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The answer is (A).

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Because (j - 2) is a factor of both the numerator and denominator, we can cancel it along with other common factors.

The answer is (A).

The answer is A.

Simplify the following complex fractions.

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Dividing by (15/4) is the same as multiplying by (4/15).

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Now we can divide 8 by the fraction (4/3), which is the same as multiplying by (3/4).

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Now we can divide.

Simplify before you multiply.

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