To find the values of x and y that would make the three fractions equivalent, we can set up an equation using cross multiplication.
For the first equation, 6/14 = x/7, we can cross multiply to get 6 * 7 = 14 * x. Simplifying this, we get 42 = 14x. Dividing both sides by 14, we find that x = 3.
For the second equation, x/7 = 24/y, we can cross multiply to get x * y = 24 * 7. Simplifying this, we get xy = 168. Since we already know that x = 3, we can substitute this into the equation to get 3y = 168. Dividing both sides by 3, we find that y = 56.
Therefore, x = 3 and y = 56 are the values that would make the three fractions equivalent.
What number must replace x
and y
for the three fractions to become equivalent?
6/14 = x/7 = 24/y
(1 point)
x = , y =
11 answers
Mary prepared 40 pineapple fruit yogurt cups to sell at a school fair. She sold 5/8 of the cups. How many cups did Mary sell? (1 point)
To find how many cups Mary sold, we can multiply the total number of cups (40) by the fraction she sold, which is 5/8.
40 * 5/8 = (40 * 5) / 8 = 200 / 8 = 25
So, Mary sold 25 cups.
40 * 5/8 = (40 * 5) / 8 = 200 / 8 = 25
So, Mary sold 25 cups.
Convert 5 8/12 to an improper fraction. Write your answer in simplest form.
To convert the mixed number 5 8/12 to an improper fraction, we need to convert the whole number and the fraction into a single fraction.
First, let's convert the whole number 5 into a fraction. We can write 5 as 5/1.
Next, we add the fraction 8/12 to 5/1. To add these fractions, we need to get a common denominator. The least common multiple of 1 and 12 is 12.
Converting both fractions to have a denominator of 12:
5/1 * 12/12 = 60/12
8/12
Now we can add these fractions:
60/12 + 8/12 = 68/12
However, this fraction can still be simplified further. Both the numerator and the denominator are divisible by 4.
68/12 = (4 * 17) / (4 * 3) = 17/3
So, 5 8/12 simplified to its simplest form is equal to 17/3 as an improper fraction.
First, let's convert the whole number 5 into a fraction. We can write 5 as 5/1.
Next, we add the fraction 8/12 to 5/1. To add these fractions, we need to get a common denominator. The least common multiple of 1 and 12 is 12.
Converting both fractions to have a denominator of 12:
5/1 * 12/12 = 60/12
8/12
Now we can add these fractions:
60/12 + 8/12 = 68/12
However, this fraction can still be simplified further. Both the numerator and the denominator are divisible by 4.
68/12 = (4 * 17) / (4 * 3) = 17/3
So, 5 8/12 simplified to its simplest form is equal to 17/3 as an improper fraction.
Convert 128/15 to a mixed number.
To convert the fraction 128/15 to a mixed number, we need to divide the numerator (128) by the denominator (15) and write the remainder as a fraction.
128 ÷ 15 = 8 remainder 8
The quotient 8 becomes the whole number, and the remainder 8 becomes the numerator of the fraction, while the denominator stays the same.
So, 128/15 as a mixed number is 8 8/15.
128 ÷ 15 = 8 remainder 8
The quotient 8 becomes the whole number, and the remainder 8 becomes the numerator of the fraction, while the denominator stays the same.
So, 128/15 as a mixed number is 8 8/15.
Which pair of fractions are equivalent to 2/9 ?
To find which pair of fractions are equivalent to 2/9, we need to find fractions that reduce to the same value as 2/9.
To do this, we can look for fractions where the numerator and denominator are multiplied or divided by the same number.
For example, multiplying both the numerator and denominator of 2/9 by 2 gives us:
(2 * 2) / (9 * 2) = 4/18
Similarly, multiplying both the numerator and denominator of 2/9 by 3 gives us:
(2 * 3) / (9 * 3) = 6/27
Both 4/18 and 6/27 are equivalent to 2/9 because they reduce to the same value.
Therefore, the pair of fractions that are equivalent to 2/9 are 4/18 and 6/27.
To do this, we can look for fractions where the numerator and denominator are multiplied or divided by the same number.
For example, multiplying both the numerator and denominator of 2/9 by 2 gives us:
(2 * 2) / (9 * 2) = 4/18
Similarly, multiplying both the numerator and denominator of 2/9 by 3 gives us:
(2 * 3) / (9 * 3) = 6/27
Both 4/18 and 6/27 are equivalent to 2/9 because they reduce to the same value.
Therefore, the pair of fractions that are equivalent to 2/9 are 4/18 and 6/27.
No
I apologize for the incorrect response. Let me try again:
To find a pair of fractions that are equivalent to 2/9, we can simplify 2/9 and look for fractions with the same value.
The fraction 2/9 cannot be simplified any further, so we need to find fractions that have the same numerator and a denominator that is a multiple of 9.
One pair of fractions that are equivalent to 2/9 is:
4/18
6/27
Both of these fractions can be simplified to 2/9:
4/18 simplifies to 2/9 when we divide the numerator and denominator by 2.
6/27 simplifies to 2/9 when we divide the numerator and denominator by 3.
Therefore, the pair of fractions that are equivalent to 2/9 are 4/18 and 6/27.
To find a pair of fractions that are equivalent to 2/9, we can simplify 2/9 and look for fractions with the same value.
The fraction 2/9 cannot be simplified any further, so we need to find fractions that have the same numerator and a denominator that is a multiple of 9.
One pair of fractions that are equivalent to 2/9 is:
4/18
6/27
Both of these fractions can be simplified to 2/9:
4/18 simplifies to 2/9 when we divide the numerator and denominator by 2.
6/27 simplifies to 2/9 when we divide the numerator and denominator by 3.
Therefore, the pair of fractions that are equivalent to 2/9 are 4/18 and 6/27.
1 answer