To solve the first equation, we first simplify the expression (x + 2 7/3) ÷ 3 7/2 = 5 4/ Convert the mixed number to an improper fraction (x + 23/3) ÷ 17/2 = 39/ Multiply both sides by the reciprocal of 17/2 2/17(x + 23/3) = 39/ 2x/17 + 2 * 23/3 = 6 6/ 2x/17 + 46/3 = 6 6/ 2x/17 = 20/ x = 170/7
To solve the second equation, we first simplify the expression (y - 15/2) ÷ 1 6/5 = 2 5/ Convert the mixed number to an improper fraction (y - 15/2) ÷ 11/5 = 15/ Multiply both sides by the reciprocal of 11/5 5/11(y - 15/2) = 1 5y/11 - 75/22 = 1 5y/11 = 345/2 y = 15
To solve the third equation, we first simplify the expression (1 4/1 + x) ÷ 1 5/4 - 3/1 = 2/ Convert the mixed numbers to improper fractions (5 + x) ÷ 9/4 - 3 = (5 + x) ÷ 9/4 - 3 = (5 + x) ÷ 9/4 = 8(5 + x) = 4 40 + 8x = 4 8x = x = 5/8
Therefore, the solutions to the equations are x = 170/ y = 1 x = 5/8
To solve the first equation, we first simplify the expression
(x + 2 7/3) ÷ 3 7/2 = 5 4/
Convert the mixed number to an improper fraction
(x + 23/3) ÷ 17/2 = 39/
Multiply both sides by the reciprocal of 17/2
2/17(x + 23/3) = 39/
2x/17 + 2 * 23/3 = 6 6/
2x/17 + 46/3 = 6 6/
2x/17 = 20/
x = 170/7
To solve the second equation, we first simplify the expression
(y - 15/2) ÷ 1 6/5 = 2 5/
Convert the mixed number to an improper fraction
(y - 15/2) ÷ 11/5 = 15/
Multiply both sides by the reciprocal of 11/5
5/11(y - 15/2) = 1
5y/11 - 75/22 = 1
5y/11 = 345/2
y = 15
To solve the third equation, we first simplify the expression
(1 4/1 + x) ÷ 1 5/4 - 3/1 = 2/
Convert the mixed numbers to improper fractions
(5 + x) ÷ 9/4 - 3 =
(5 + x) ÷ 9/4 - 3 =
(5 + x) ÷ 9/4 =
8(5 + x) = 4
40 + 8x = 4
8x =
x = 5/8
Therefore, the solutions to the equations are
x = 170/
y = 1
x = 5/8