To solve each of these proportions:
1) 8/9 = 3/4x/2
First cross multiply to get:8 2 = 9 3/4x
16 = 27/4x
Multiply both sides by 4 to get rid of the fraction:4 * 16 = 27x
64 = 27x
Divide by 27 to solve for x:x = 64/27
2) 8 + 5/76 = 5/9x
First convert the fraction into a decimal for easier calculations:5/76 = 0.0658
So the equation becomes:8 + 0.0658 = 5/9x
8.0658 = 5/9x
Multiply both sides by 9 to get rid of the fraction:9 * 8.0658 = 5x
72.5922 = 5x
Divide by 5 to solve for x:x = 72.5922 / 5
3) 12/7 = 9/x
Cross multiply to get:12x = 7 * 9
12x = 63
Divide by 12 to solve for x:x = 63 / 12
To solve each of these proportions:
1) 8/9 = 3/4x/2
First cross multiply to get:
8 2 = 9 3/4x
16 = 27/4x
Multiply both sides by 4 to get rid of the fraction:
4 * 16 = 27x
64 = 27x
Divide by 27 to solve for x:
x = 64/27
2) 8 + 5/76 = 5/9x
First convert the fraction into a decimal for easier calculations:
5/76 = 0.0658
So the equation becomes:
8 + 0.0658 = 5/9x
8.0658 = 5/9x
Multiply both sides by 9 to get rid of the fraction:
9 * 8.0658 = 5x
72.5922 = 5x
Divide by 5 to solve for x:
x = 72.5922 / 5
3) 12/7 = 9/x
Cross multiply to get:
12x = 7 * 9
12x = 63
Divide by 12 to solve for x:
x = 63 / 12