Literal And Compound Fractions Quiz!

1) Simplify $\frac {5} {6}\times \frac {4} {65}$

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Explanation

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2) Evaluate the numerical value of $\frac {\frac {a} {15}} {\frac {7} {b}}$ where a=4 and b=8

The expression can be evaluated by substituting the given values of a and b into the expression. So, substituting a=4 and b=8, we get 4^3 - 2(8) = 64 - 16 = 48.

Explanation

The expression can be evaluated by substituting the given values of a and b into the expression. So, substituting a=4 and b=8, we get 4^3 - 2(8) = 64 - 16 = 48.

3) What's the opposite of -2/3 and the reciprocal of 1/5?

2/3 and 5

3/2 and -5

-2 and 5

-3 and -5

The opposite of -2/3 is 2/3 because the opposite of a fraction is found by changing the sign of the numerator. The reciprocal of 1/5 is 5 because the reciprocal of a fraction is found by flipping the fraction upside down. Therefore, the opposite of -2/3 is 2/3 and the reciprocal of 1/5 is 5.

Explanation

The opposite of -2/3 is 2/3 because the opposite of a fraction is found by changing the sign of the numerator. The reciprocal of 1/5 is 5 because the reciprocal of a fraction is found by flipping the fraction upside down. Therefore, the opposite of -2/3 is 2/3 and the reciprocal of 1/5 is 5.

4) Simplify $\frac {\frac {1} {2}} {\frac {1} {2}}$

1

2

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Explanation

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5) The numerical value of $\frac {x-7} {x+2}$ where x=8

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6) Simplify $\frac {1} {\, \, \, \frac {\, \, 1\, \, \, } {\, 4}\, \, \, }$

4

The given question is asking to simplify the expression "4". Since "4" is already a simplified form and there are no further operations or simplifications required, the answer remains as "4".

Explanation

The given question is asking to simplify the expression "4". Since "4" is already a simplified form and there are no further operations or simplifications required, the answer remains as "4".

7) Solve $6x=16$

3

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8) Solve $\frac {2} {9}\, x=\, \frac {1} {7}$

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Explanation

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9) Solve $\frac {1} {20}\, -\frac {1} {5}+\frac {3} {4}$

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Explanation

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10) Simplify $\frac {1-\frac {1} {2}} {1+\frac {1} {2}}$

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Explanation

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11) Simplify $\frac {\, \, 2-\frac {1} {2}\, \, } {1+\frac {1} {4}}$

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12) Solve $6x=-\frac {3} {2}$

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Explanation

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13) Solve $\frac {x} {3}=\frac {7} {18}$

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Explanation

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14) Evaluate the numerical value of $\frac {3} {2c}\div \frac {5} {2d}$ where c=12 and d=-1

The given expression is 12^(-1). When a number is raised to the power of -1, it means taking the reciprocal of that number. Therefore, 12^(-1) is equal to 1/12.

Explanation

The given expression is 12^(-1). When a number is raised to the power of -1, it means taking the reciprocal of that number. Therefore, 12^(-1) is equal to 1/12.

15) Calculate $\frac {1} {4x}-\frac {2} {5x}+\frac {1} {x}$

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16) Simplify $\frac {\, \, 1+\frac {1} {\, \, \, 2+\frac {1} {4}\, \, \, \, }\, \, \, } {\frac {2} {\, \, \, \, 1+\frac {1} {4}\, \, \, \, }}$

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Explanation

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17) Simplify $1+\frac {1} {\, \, \, \, 2+\, \, \, \, \frac {1} {\, \, \, \, \, 4+\frac {1} {4}\, \, \, \, \, }\, \, }$

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Explanation

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18) Solve $7\div x=-14$

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Explanation

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19) Evaluate the numerical value of $\frac {2{e}^{4}} {{f}^{2}e\, \, }\, +1$ where e=5 and f=2

The numerical value of e^f can be evaluated by raising e to the power of f. In this case, since e=5 and f=2, the calculation would be 5^2, which equals 25.

Explanation

The numerical value of e^f can be evaluated by raising e to the power of f. In this case, since e=5 and f=2, the calculation would be 5^2, which equals 25.

20) Calculate $\frac {x-1} {2}\, -\, \frac {x-2} {3}+\frac {1} {6}$

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Explanation

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