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coldgirl [10]
3 years ago
7

Solve 2 1/2 divided by 5 1/3 = 8/x

Mathematics
1 answer:
ipn [44]3 years ago
4 0
2\frac { 1 }{ 2 } \quad divided\quad by\quad 5\frac { 1 }{ 3 } \\ \\ 2\frac { 1 }{ 2 } =2+\frac { 1 }{ 2 } =\frac { 5 }{ 2 } \\ \\ 5\frac { 1 }{ 3 } =5+\frac { 1 }{ 3 } =\frac { 15+1 }{ 3 } =\frac { 16 }{ 3 } \\ \\ \\ \frac { \frac { 5 }{ 2 }  }{ \frac { 16 }{ 3 }  }

We're dividing fractions, so we will flip the one in the denominator upside down and we will multiply it with the numerator.

\frac { \frac { 5 }{ 2 }  }{ \frac { 16 }{ 3 }  } \quad =\quad \frac { 5 }{ 2 } \cdot \frac { 3 }{ 16 } =\frac { 5\cdot 3 }{ 2\cdot 16 } =\frac { 15 }{ 32 }

Let's equal this too 8/x

\frac { 15 }{ 32 } =\frac { 8 }{ x }

Cross multiply. 

8\cdot 32=15\cdot x\\ \\ 256=15x

Divide both sides by 15.

\frac { 256 }{ 15 } =\frac { 15x }{ 15 } \\ \\ \frac { 256 }{ 15 } =x

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= 1/4 + 1/2 + x = -3/4

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Can someone help me with this math homework please!
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Answer:

Step-by-step explanation:

1) Least common denominator of 4 and 2 is 4

To eliminate the fraction, each term should be multiplied by 4

ANS:option c

2) Mercury level of water 'y' years = Initial measure +rate of increase 'y' years

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Ans : Option c

3) 4b +6 = 2 - b + 4

Add 'b' to both sides

4b + b + 6 = 2 + 4

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Subtract 6 from both sides

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Ans : Option b

4) Maximum decimal places in this equation is 2. So, to eliminate decimal places, The equation should be multiplied by 100

Ans: option d

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Add 3y to both the sides

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Subtract 6 from both sides

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4y = 20

Divide bothe sides by 4

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Ans: option c

6) '2x' is  subtracted from both side of the equation.

Ans: option a - subtraction property of equality

                     

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The answer is 2/4! :)
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