WHAT NUMBER MUST REPLACE X AND Y FOT THE THREE FRACTIONS TO BECOME EQUIVALENT? 16 FORTHS AND ? SEVENTHS = 44 ?

Answer 1

To solve this problem, we can set up an equation.

First, let's convert 16/4 to a fraction with a denominator of 7, which will give us 16/4 = (16/4) * (7/7) = 112/28.

Now we can set up the equation: 112/28 + x/7 = 44/7.

To simplify, we can multiply through by the common denominator of 28: 112 + 4x = 44.

Now, we can solve for x by subtracting 112 from both sides and then dividing by 4: 4x = -68 → x = -17.

Therefore, the number that must replace x is -17.

To find y, we can substitute the value of x back into the equation: 112/28 + (-17)/7 = 44/7.

To simplify, we can multiply through by the common denominator of 28: 112 + (-68) = 44.

This simplifies to 44 = 44, which is true.

Therefore, any number can replace y, as long as the fractions remain equivalent.