As shown in the figure below, $\angle$ABCD is a rectangle. $\angle$P is the midpoint of $\angle$AD. $\angle$AQ = $\angle$QR = $\angle$RC. What fraction of the rectangle is shaded?
Mark spent $\frac{1}{10}$ of his salary on transport and$\frac{1}{5}$ of it on food. He also gave $\frac{1}{2}$ of his salary to his parents. He saved the remaining $480. a) What fraction of the salary did he save? b) How much money did he give his parents? c) How much did he spend on food and transport?
$\frac{1}{10}$ + $\frac{1}{5}$ + $\frac{1}{2}$ = $\frac{1}{10}$ + $\frac{2}{10}$ + $\frac{5}{10}$ = $\frac{8}{10}$ $\frac{10}{10}$ - $\frac{8}{10}$ = $\frac{2}{10}$ = $\frac{1}{5}$ a) He Saved $\frac{1}{5}$ of the salary. b) 2 units $\longrightarrow$ \$480 5 units $\longrightarrow$ \$240 $\times$ 5 = \$1200 c) 1 unit = \$240 He spent \$240 on transport.
1$\frac{1}{4}$m of ribbon is cut into shorter pieces of$\frac{1}{3}$m each. What is the length of the remaining piece?
$\frac{1}{4}$ of the children in a hall were girls. After $\frac{1}{3}$ of the girls left, there were 42 more boys than girls remaining in the hall. How many children were in the hall at first?
Maureen and Serene had a total of 2136 stickers. After Maureen gave Serene 60 stickers, she still had $\frac{2}{3}$ of the total number of stickers. How many stickers did Maureen have at first?
Kumar had 480 marbles. After giving away most of his marbles to his friends, he still had $\frac{1}{6}$ of the marbles left. How many marbles did he give away?
Wahid and Ajay had a total of 1760 marbles. After Wahid gave Ajay 130 marbles, he still had $\frac{3}{4}$ of the total number of marbles. How many marbles did Wahid have at first?
Andy gave $\frac{1}{12}$ of his stickers to Alan. He also gave $\frac{1}{3}$ and $\frac{1}{4}$ of his stickers to Ben and Charlie, respectively. He then had 96 stickers left. a) What fraction his stickers was left? b) How many stickers did he give to Charlie?
A
a)$\frac{1}{2}$ b)70
B
a)$\frac{2}{3}$ b)72
C
a)$\frac{3}{4}$ b)74
D
a)$\frac{4}{5}$ b)76
E
None of the above
Sorry. Please check the correct answer below.
$\frac{1}{12}$ + $\frac{1}{3}$ + $\frac{1}{4}$ = $\frac{1}{12}$ + $\frac{4}{12}$ + $\frac{3}{12}$ = $\frac{8}{12}$ = $\frac{2}{3}$ $\frac{4}{12}$ = 96 stickers $\frac{1}{12}$ = 24 stickers $\frac{3}{12}$ = 72 stickers a) He had $\frac{2}{3}$ of his stickers left. b) He gave 72 stickers to Charlie.
$\frac{1}{12}$ + $\frac{1}{3}$ + $\frac{1}{4}$ = $\frac{1}{12}$ + $\frac{4}{12}$ + $\frac{3}{12}$ = $\frac{8}{12}$ = $\frac{2}{3}$ $\frac{4}{12}$ = 96 stickers $\frac{1}{12}$ = 24 stickers $\frac{3}{12}$ = 72 stickers a) He had $\frac{2}{3}$ of his stickers left. b) He gave 72 stickers to Charlie.
Nina and Owen have a total of \$320. After Nina gave $\frac{1}{5}$ of her money to Owen, they now have the same amount of money. How much money did Owen have at first?