To solve these equations for x, we need to isolate the variable x.
1) 7/8 + x = 11/36
Subtract 7/8 from both sides: x = 11/36 - 7/8 Find a common denominator for 36 and 8, which is 72: x = 22/72 - 63/72 x = -41/72
2) 3/5 * x = 28/45
Multiply both sides by the reciprocal of 3/5, which is 5/3: x = 28/45 * 5/3 x = 140/135 Simplify the fraction by dividing both numerator and denominator by 5: x = 28/27
3) 4/7 ÷ x = 7/12
Multiply both sides by x: 4/7 = 7/12 x Divide both sides by 7/12, which is the same as multiplying by 12/7: 4/7 12/7 = x x = 48/49
To solve these equations for x, we need to isolate the variable x.
1) 7/8 + x = 11/36
Subtract 7/8 from both sides:
x = 11/36 - 7/8
Find a common denominator for 36 and 8, which is 72:
x = 22/72 - 63/72
x = -41/72
2) 3/5 * x = 28/45
Multiply both sides by the reciprocal of 3/5, which is 5/3:
x = 28/45 * 5/3
x = 140/135
Simplify the fraction by dividing both numerator and denominator by 5:
x = 28/27
3) 4/7 ÷ x = 7/12
Multiply both sides by x:
4/7 = 7/12 x
Divide both sides by 7/12, which is the same as multiplying by 12/7:
4/7 12/7 = x
x = 48/49