The product of two numbers is 3 1/4. One factor is 3 5/7. what is the other factor
(3 5/7)x = 3 1/4
(26/7)x = 13/4
x = 13/4 * 7/26
= 13/26 * 7/4
= 1/2 * 7/4
= 7/8
The product of two numbers is 3 1/4. One factor is 3 5/7. What is the other factor?
To find the other factor, we can use the concept of division. The product of two numbers is obtained by multiplying them together. In this case, the product of two numbers is 3 1/4.
Let's convert 3 1/4 to an improper fraction. To do this, multiply the whole number (3) by the denominator of the fraction (4), then add the numerator (1). This gives us (3 * 4) + 1 = 13. So, 3 1/4 can be written as the improper fraction 13/4.
Now, we can set up the equation:
(One factor) × (Other factor) = Product
Let the unknown factor (the one we are looking for) be represented by 'x'. We are given that one factor is 3 5/7, which can be written as an improper fraction as 26/7. We are also told that the product is (13/4).
So, we have the equation: (26/7) × x = 13/4
To solve for 'x', we can divide both sides of the equation by (26/7):
x = (13/4) ÷ (26/7)
To divide fractions, we multiply the first fraction (dividend) by the reciprocal of the second fraction (divisor):
x = (13/4) × (7/26)
Now, multiply the numerators (13 × 7) to get the numerator of the result:
x = (91/4) × (1/26)
x = 91/104
Therefore, the other factor is 91/104.