how many sixths equal one-third
We have a variable x where we want to solve for in the following equation:
x/6 = 1/3
Typing this proportion into our math engine, we get:
x = 2
A fraction has a value of 3/4. If 7 is added to the numerator, the resulting fraction is equal to the reciprocal of the original fraction. Find the original fraction.
Let the fraction be x/y. We're given two equations:
x/y = 3/4
(x + 7)/y = 4/3. (The reciprocal of 3/4 is found by 1/(3/4)
Cross...
Tristian bought an orange that was 1/5 pound. He cut the orange into 8 slices. How much does each slice weigh?
1/5 pound / 8 slices = 1/5 * 1/8 = 1/40 pound
1 out of 12 homes is heated by fuel oil. At this rate, how many homes in a community of 36,000 homes are heated by fuel oil?
1/12 * 36000 = 3,000 homes
How many 1/4 sheets are there in 5 sheets
We divide 5 sheets by 1/4 sheets:
5/1/4
However, when we divide by a fraction, it's the same as multiplying by the reciprocal of the fraction:
The reciprocal of 1/4 is 4/1, so we have:
5 * 4/1 = 20/1 = 20
one-fifth of forty-five
one-fifth is 1/4
forty-five is 45
When you see a fraction then the word of and then a number, it means you multiply:
1/5 * 45
45/5
9
Jerry, an electrician, worked 7 months out the year. What percent of the year did he work?
We know that there are 12 months in a year.
Percentage worked = Months worked in a year / months in a year * 100%
Percentage worked = 7/12 * 100%
Percentage worked = 0.5833333 * 100%
Multiplying by 100...
Bob has 4/5 of a pound of fudge. He wants to share it with Sue. How much of a pound of fudge will both of them get?
If Bob shares the fudge with Sue, we assume they split equal parts. This means:
We take 4/5 total and divide into 2 for 2 people:
4/5/2
This is the same as 4/5 * 1/2
4/10
This...
Fraction with variable x in numerator and 6 in the denominator.
The numerator is the top of the fraction.
The denominator is the bottom of the fraction.
x/6
Ande has 8 pints of milk. If he drinks 1/4 of a pint of milk each day, how long will the 8 pints of milk last him?
Milk Days = Total Pints of Milk / pints drank per day
Milk Days = 8 / 1/4
Dividing by a fraction is the same as multiplying by it's reciprocal.
The reciprocal of 1/4 is 4/1, so...
The Palafoxes make $3,840 a month. They spend $1,600 for rent. What fraction of their income goes to rent?
Rent Payment Fraction = Rent Payment / Total Income
Rent Payment Fraction = 1600 / 3840
Our greatest common factor of 1600 and 3840 is 320.
So if we divide 1600 and 3840 by 320, we get...
From a regular deck of 52 playing cards, you turn over a 6 and then a 7. What is the probability that the next card you turn over will be a face card?
Key phrases: 52 card standard deck so you know there's no tricks or missing cards.
Calculate the number of face cards in a standard 52 card...
a paper boy delivers thirteen paper to an apartment complex. if these deliveries compose one-seventh of his route, how many papers does he deliver
Let d be the total number of deliveries the paper boy makes on the route.
d
We're given, d/7 = 13
d = 13 * 7
d = 91
Barbara bought a piece of rope that was 7 1/3 meters long. She cut the rope into 3 equal pieces. How long is each piece of rope?
Using our mixed number converter, we see that:
7&1/3 = 22/3
Split into 3 equal pieces, we have:
22/3 / 3 = 22/9 or 2&4/9
How many twelfths equal three-sixths?
We set up the equation below where x is the number of twelfths in three-sixths:
1/12x = 3/6
Cross multiply, and we get:
12x * 3 = 6 * 1
36x = 6
To solve for x, we type this in our math engine and we get:
x = 1/6 or 0.16667
Mr. Tan has two daughters. His elder daughter is 1/3 of his age while his younger daughter is 1/4 of his age. If Mr. Tan’s age is 60, how old are his elder and youngest daughter?
Let Mr. Tan's age be a. We're given:
Elder Daughter's age = 60/3 = 20 years old
Younger Daughter's age = 60/4 = 15...
Three out of every 7 houses in a neighborhood are painted white. There are 224 houses in the neighborhood. How many houses are white?
3/7 of 224 = 96 houses are white