Fractions
4/7 ÷ [12/7 - 3/14]
8/15
(–3) 3=
-27
Simplify. 4(b-6)+19
4b-5
Simplify. -6(-3x+6)
18x-36
4/7 of a number is 84. Find the number.
x = 4
WORK
4/7 of a number = 84
Number = 84 × 7/4
= 21 × 7
= 147
Therefore, the number is 147.
(53 ) 2=
56
Simplify. 4(-3p+6)-3
-12p+21
Simplify the expression. 11x+9-7
11x+2
One half of the students in a school are girls, 3/5 of these girls are in art classes. What fraction of girls are in art classes?
3/10
WORK
Fraction of girls studying in school = 1/2
Fraction of girls studying in lower classes = 3/5 of 1/2
= 3/5 × 1/2
= 3 × 1/5 × 2
= 3/10
x3· x 4 : x5=
x 2
Simplify. 4x-5(x+6)
-x+6
Solve for x:
5x = 20
x = 4
WORK
5x = 20
5x/5 = 20/5
x = 4
Solve for x:
2x + 3 = 15
x = 6
WORK
2x + 3 = 15
2x + 3 - 3 = 15 - 3
2x = 12
(2x)/2 = 12/2
x = 6
Maddy reads three-fifths of 75 pages of his lesson. How many more pages he need to complete the lesson?
30
WORK
Maddy reads = 3/5 of 75
= 3/5 × 75
= 45 pages.
Maddy has to read = 75 – 45.
= 30 pages.
Therefore, Maddy has to read 30 more pages.
An electrical store reduces the price of a particular camera from £90 to £78.30. What is the percentage reduction?
13%
Simplify. 3(5-2n)+9n
15+3n
Simplify. -8x+12-8x+15+15x-22-x
-2x - 5
Rachel spends 1/4 of her pocket money on chocolates, 1/8 on pizza. At the end she had $ 40 left. How much did she have at the beginning?
64
The owners of a museum are expecting a 14% increase in visitors next year. This year they had 20200 visitors. How many visitors should they expect next year?
Simplify. -2(x-6)+3(x+5)
x+27