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anastassius [24]
3 years ago
15

3.25+0.5x+1 1/3 + 5/6 x=5 11/12 what is x? PLZ HELP DUE SOON

Mathematics
2 answers:
klemol [59]3 years ago
5 0

Answer: x = 0


Step-by-step explanation:

The first step would be to convert everything to one form. I'll do the fractions, since 1/3 is hard to represent in decimal.

3 1/4 + 1/2x + 1 1/3 + 5/6x = 5 11/12

Now, the fractions will be converted via GCF. 12 is easily divisible by 4, 2, 3 and 6, so that I'll be the denominator used.

3 1/4 -> 3 3/12

1/2x -> 6/12x

1 1/3 -> 1 4/12

5/6x -> 10/12x

5 11/12 will stay the same.

The new equation is:

3 3/12 + 6/12x + 1 4/12 + 10/12x = 5 11/12

Combine like terms:

4 7/12 + 1 4/12x = 5 11/12

Subtract 4 7/12 from both sides

1 4/12x = 1 4/12

Divide both sides by 1 4/12x

x= 0

Marat540 [252]3 years ago
5 0

Answer:

x= 1

Step-by-step explanation:

Convert 5\frac{11}{12}5

​12

​​11

​​  to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

​c

​

​b

​​ =

​c

​

​ac+b

​​

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{5\times 12+11}{12}3.25+0.5x+1

​3

​

​1

​​ +

​6

​

​5

​​ x=

​12

​

​5×12+11

​​


2 Simplify 5\times 125×12 to 6060

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{60+11}{12}3.25+0.5x+1

​3

​

​1

​​ +

​6

​

​5

​​ x=

​12

​

​60+11

​​


3 Simplify 60+1160+11 to 7171

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{71}{12}3.25+0.5x+1

​3

​

​1

​​ +

​6

​

​5

​​ x=

​12

​

​71

​​


4 Simplify \frac{5}{6}x

​6

​

​5

​​ x to \frac{5x}{6}

​6

​

​5x

​​

3.25+0.5x+1\frac{1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+1

​3

​

​1

​​ +

​6

​

​5x

​​ =

​12

​

​71

​​


5 Convert 1\frac{1}{3}1

​3

​

​1

​​  to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

​c

​

​b

​​ =

​c

​

​ac+b

​​

3.25+0.5x+\frac{1\times 3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

​3

​

​1×3+1

​​ +

​6

​

​5x

​​ =

​12

​

​71

​​


6 Simplify 1\times 31×3 to 33

3.25+0.5x+\frac{3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

​3

​

​3+1

​​ +

​6

​

​5x

​​ =

​12

​

​71

​​


7 Simplify 3+13+1 to 44

3.25+0.5x+\frac{4}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

​3

​

​4

​​ +

​6

​

​5x

​​ =

​12

​

​71

​​


8 Simplify 3.25+0.5x+\frac{4}{3}+\frac{5x}{6}3.25+0.5x+

​3

​

​4

​​ +

​6

​

​5x

​​  to \frac{13.75}{3}+\frac{4x}{3}

​3

​

​13.75

​​ +

​3

​

​4x

​​

\frac{13.75}{3}+\frac{4x}{3}=\frac{71}{12}

​3

​

​13.75

​​ +

​3

​

​4x

​​ =

​12

​

​71

​​


9 Simplify \frac{13.75}{3}

​3

​

​13.75

​​  to 4.5833334.583333

4.583333+\frac{4x}{3}=\frac{71}{12}4.583333+

​3

​

​4x

​​ =

​12

​

​71

​​


10 Subtract 4.5833334.583333 from both sides

\frac{4x}{3}=\frac{71}{12}-4.583333

​3

​

​4x

​​ =

​12

​

​71

​​ −4.583333


11 Simplify \frac{71}{12}-4.583333

​12

​

​71

​​ −4.583333 to \frac{4}{3}

​3

​

​4

​​

\frac{4x}{3}=\frac{4}{3}

​3

​

​4x

​​ =

​3

​

​4

​​


12 Multiply both sides by 33

4x=\frac{4}{3}\times 34x=

​3

​

​4

​​ ×3


13 Simplify \frac{4}{3}\times 3

​3

​

​4

​​ ×3 to \frac{12}{3}

​3

​

​12

​​

4x=\frac{12}{3}4x=

​3

​

​12

​​


14 Simplify \frac{12}{3}

​3

​

​12

​​  to 44

4x=44x=4


15 Divide both sides by 44

x=1


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