what number must replace x and y for the three factions to become equivlant 6/14 = x/7 = 24/y

Answer 1

To find the number that must replace x and y for the three fractions to be equivalent, we will set up a proportion using the given information.

The first equation 6/14 = x/7 can be simplified by cross-multiplying:
(6)(7) = (14)(x)
42 = 14x
Dividing both sides by 14:
42/14 = x
3 = x

Now, the second equation x/7 = 24/y can be further simplified by cross-multiplying:
x(y) = (7)(24)
3(y) = (7)(24)
3y = 168
Dividing both sides by 3:
y = 168/3
y = 56

Therefore, the number that must replace x is 3, and the number that must replace y is 56 for the three fractions to be equivalent.

Answer 2

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

Answer 3

To find out how many cups Mary sold, we can use the information given: she sold 5/8 of the total cups.

First, we need to calculate 5/8 of 40 (the total number of cups) to find how many cups she sold:
5/8 * 40 = (5 * 40) / 8 = 200 / 8 = 25

Therefore, Mary sold 25 pineapple fruit yogurt cups at the school fair.

Answer 4

convert 5 8/12 to an improper fraction write your answer in simplest form

Answer 5

To convert 5 8/12 to an improper fraction, we need to first convert the whole number to a fraction, and then add it to the fraction part.

The whole number, 5, can be written as a fraction with a denominator of 1:

5 = 5/1

Now, we need to convert the fraction part, 8/12, to have the same denominator. We can simplify 8/12 by dividing both the numerator and denominator by their greatest common divisor, which is 4:

8/12 = (8 ÷ 4) / (12 ÷ 4) = 2/3

Now, we add the whole number fraction and the fraction part:

5/1 + 2/3 = 15/3 + 2/3 = 17/3

Therefore, 5 8/12, in improper fraction form, simplified to its simplest form is 17/3.

Answer 6

convert 128/5 into a mixed number

Answer 7

To convert the fraction 128/5 into a mixed number, we need to divide the numerator (128) by the denominator (5) and separate the whole number part from the fractional part.

128 ÷ 5 = 25 remainder 3

The quotient of the division is 25, representing the whole number part. The remainder 3 represents the fractional part. To express the remainder as a fraction, we put it over the denominator:

3/5

Therefore, the fraction 128/5 can be written as the mixed number 25 3/5.

Answer 8

convert 128/15 into a mixed number

Answer 9

To convert the fraction 128/15 into a mixed number, we need to divide the numerator (128) by the denominator (15) and separate the whole number part from the fractional part.

128 ÷ 15 = 8 remainder 8

The quotient of the division is 8, representing the whole number part. The remainder 8 represents the fractional part. To express the remainder as a fraction, we put it over the denominator:

8/15

Therefore, the fraction 128/15 can be written as the mixed number 8 8/15.

Answer 10

Which pair of fractions are equivalent to 2/9?(1 point)
Responses

20/27, 12/19
Start Fraction 20 over 27 End Fraction comma Start Fraction 12 over 19 End Fraction

6/27, 12/45
Start Fraction 6 over 27 End Fraction comma Start Fraction 12 over 45 End Fraction

5/27, 12/54
Start Fraction 5 over 27 End Fraction comma Start Fraction 12 over 54 End Fraction

6/27, 12/54
Start Fraction 6 over 27 End Fraction comma Start Fraction 12 over 54 End Fraction

Answer 11

The pair of fractions that are equivalent to 2/9 is:

20/27, 12/54
(Start Fraction 20 over 27 End Fraction, Start Fraction 12 over 54 End Fraction)