They are fractions
a. x/8 = 15/7
b. 9/x = 5/4
c. 145/16 = 78/x
thanks in advance for your help!
Cross multiply and solve for x.
x/8 = 15/7
7x = 120
x = 120/7
x = 17.14
thank you
You're welcome.
To solve these fraction equations, we need to isolate the variable on one side of the equation. Here's how you can solve each equation step by step:
a. x/8 = 15/7
1. To eliminate the denominator, multiply both sides of the equation by the common multiple of 8 and 7, which is 56.
(x/8) * 56 = (15/7) * 56
x * 7 = 15 * 8
2. Simplify both sides of the equation:
7x = 120
3. To solve for x, divide both sides of the equation by 7:
7x/7 = 120/7
x = 120/7
Therefore, the solution to equation (a) is x = 120/7.
b. 9/x = 5/4
1. To eliminate the denominator, cross-multiply by multiplying the numerator of the left side with the denominator of the right side, and vice versa.
(9 * 4) = (x * 5)
2. Simplify both sides of the equation:
36 = 5x
3. To solve for x, divide both sides of the equation by 5:
36/5 = x
Therefore, the solution to equation (b) is x = 36/5.
c. 145/16 = 78/x
1. To eliminate the denominator, cross-multiply by multiplying the numerator of the left side with the denominator of the right side, and vice versa.
(145 * x) = (78 * 16)
2. Simplify both sides of the equation:
145x = 1248
3. To solve for x, divide both sides of the equation by 145:
145x/145 = 1248/145
x = 1248/145
Therefore, the solution to equation (c) is x = 1248/145.
Remember to simplify your answer if possible.