what number must replace x and y for the three factions to become equivlant 6/14 = x/7 = 24/y
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.
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
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.
convert 5 8/12 to an improper fraction write your answer in simplest form
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.
convert 128/5 into a mixed number
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.
convert 128/15 into a mixed number
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.
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