Jason is saving up for a skateboard and helmet. The skateboard is $45.50 with tax and the helmet is $18.25 with tax. He earned
1/3 of the money by mowing lawns and the rest by babysitting. How much did Jason earn babysitting?
The skateboard and helmet together cost $45.50 + $18.25 = $<<45.50+18.25=63.75>>63.75
One third of the money is $63.75 / 3 = $<<63.75/3=21.25>>21.25
Jason earned $63.75 – $21.25 = $<<63.75-21.25=42.50>>42.50 babysitting. Answer: \boxed{42.50}.
Molly's family has $3,000 set aside for an upcoming vacation. The family plans to spend
3/5 of this amount on gasoline for the drive and motel rooms along the way and
1/2 of the remainder on meals. How much does Molly's family plan to spend on meals?
The family plans to spend 3/5 * $3,000 = $<<3/5*3000=1800>>1800 on gasoline and motel rooms.
The remainder is $3,000 - $1800 = $<<3000-1800=1200>>1200.
They plan to spend 1/2 * $1200 = $<<1/2*1200=600>>600 on meals. Answer: \boxed{600}.
1/2 x 4/3 + 5/6 divided by 7/8
To simplify the expression, we first perform the multiplication:
(1/2) * (4/3) + 5/6 divided by 7/8
= (1/2) * (4/3) + 5/6 * (8/7)
Next, we multiply the numerators and denominators:
= (4/6) + (40/42)
To add these fractions, we need to find a common denominator. The least common multiple of 6 and 42 is 42:
= (4/6) + (40/42)
= (14/21) + (40/42)
Now, we convert the fractions to have a common denominator of 42:
= (14/21) + (40/42)
= (14/21) + (40/42) * (2/2)
= (14/21) + (80/84)
Since the fractions have a common denominator, we can add the numerators:
= (14 + 80) / 84
= 94/84
Now, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:
= (94/84) / 2
= (47/42) / 2
= 47/84
Therefore, the final simplified expression is 47/84.
1/2 x 4/3 + 5/6 ÷ 7/8
To solve this expression, we follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Order/Indices, Division/Multiplication, and Addition/Subtraction.
The expression is:
1/2 x 4/3 + 5/6 ÷ 7/8
First, we perform the multiplication and division from left to right:
1/2 x 4/3 = 4/6 = 2/3
Next, we perform the division:
5/6 ÷ 7/8 = 5/6 x 8/7 = 40/42 = 20/21
Finally, we add the results of the previous operations:
2/3 + 20/21
To add these fractions, we need to find a common denominator. The lowest common multiple of 3 and 21 is 21:
2/3 + 20/21 = (2/3) * (7/7) + (20/21) * (1/1) = 14/21 + 20/21
Now, we add the numerators since the fractions have the same denominator:
14/21 + 20/21 = (14 + 20)/21 = 34/21
Therefore, the final answer is 34/21.