## Fractions, Decimals and Percentages Exercise

1. Calculate:

 a. 4⁄5 + 1⁄4 b. 26⁄7 − 17⁄8 c. 5⁄8 × 7⁄15 d. 63⁄4 ÷ 11⁄8 e. 3⁄4 − 1⁄8 f. 4⁄5 ÷ 2⁄3 g. 14⁄5 ÷ 9⁄10 h. 5⁄11 × 7⁄9 i. 15⁄16 × 8⁄9 j. 26⁄7 + 17⁄8 k. 31⁄2 × 41⁄4 l. 31⁄2 ÷ 7⁄8 m. 31⁄4 − 11⁄2 n. 44⁄55 × 15⁄16 o. 13⁄8 × 21⁄4 p. 61⁄5 − 23⁄8 q. 43⁄8 + 21⁄4 r. 31⁄8 + 41⁄6 − 25⁄12 s. 2t⁄15 ÷ t⁄9 t. 2x⁄7 + x⁄14

2. Try to do all of the following questions without a calculator and then check them with a calculator.

 a. 6.6 + 5.7 b. 9.5 × 9.7 c. 20.2 − 10.75 d. 0.76 + 5.9 e. 9.9 − 2.45 f. 68.4 ÷ 0.12 g. 5.5 × 2.3 h. 3.45 ÷ 0.5 i. 12.6 × 5.4 j. 6.2 − 2.56 × 3.1 k. 6.32 ÷ 0.04 l. 3.42 m. 0.2 + 3 × 0.4 n. 19.2 + 3.9 × 3 o.348.9 − 189.488 p. 512.76 + 5.335 q. 3.92 − 0.48 r. 4.34 − 2.32 + 4.79

3. Calculate:

 a. 1.2 × 10 b. 3.41 × 100 c. 87.2 ÷100 d. 13.4 × 1000 e. 2.6 × 1 000 000 f. 0.428 ÷10 g. 0.32 × 1000 h. 0.35 ÷ 100 i. 832.4 ÷ 100 j. 61.7 × 10 k. 16.2 ÷1000 l. 0.06 ÷ 100

4.a. Find the sum of 18.3, 6.45 and 0.062

b. What is 4512.7 less 3291.04?

c. What is the product of 31.7 and 1.8?

d. About how many pieces of wood 7.2 cm long can be cut from a fencing timber 94.4 cm in length?

e. What is the perimeter of a rectange of sides length 41.2 m and 12.4 m?

f. Find the cost of 20 kg of kiwifruit at \$1.65 per kg .

5. Find:

 a. 8% of 360 b. 1% of 80 c. 15% of 500 d. 90% of \$400 e. 35% of 5500 f. 180% of 600

6. Express as a percentage:

 a. 14 out of 40 b. 9 out of 20 c. 50 out of 80 d. 66 out of 120 e. 4 out of 12 f. 11 out of 16

7.

 a. Increase 93 by 20% b. Decrease 150 by 25% c. Increases 200 by 100% d. Increase 800 by 56% e. Decrease 72 by 5% f. Decrease 60 by 60%
 8 A woman buys a clock for \$120 and sells it for \$150. Find: (a) Her profit. (b) Her percentage profit. 9. A stamp dealer buys a set of stamps for \$56 and sells it for \$64. Find:

(a) His profit.

(b) His percentage profit.

10. A man sells a house for \$240, 000 at a loss of 10%.

(a) What did he pay for it?

The house increases in value by 20% over the following year.

(b) What will it be worth one year after he sold it?

11. A shop discounts its goods during its winter sale by 25%. Find:

(a) The price in the sale of a mini-system normally sold for \$600.

(b) The normal price of a chair being offered at a sale price of \$300.

12. The following sporting goods are listed without Goods and Services Tax (GST). Calculate their prices with GST at 15% added on.

 a. A hockey stick worth \$125. b. Hockey shoes worth \$145. c. A hockey ball worth \$25.