Four times the sum of a number and 2/3 is 16/3. find the number. express your answer as a fraction in simplest form

Times= multiply
sum= addition
is= equal sign

x= a number

4 times x plus 2/3 equals 16/3.

4x + 2/3= 16/3
subtract 2/3 from both sides

4x= 14/3
divide both sides by 4

x= 14/3 ÷ 4
to divide fractions, multiply by reciprocal/inverse of 4

x= 14/3 * 1/4
multiply numerators (top); multiply denominators (bottom)

x= (14*1)/(3*4)
x= 14/12
simplify by 2

x= 7/6

ANSWER: The number in simplest form is 7/6.

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