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Math 6 Module 5 Pre test​

Math 6 Module 5 Pre Test class=

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Answer:

[tex]1) \frac{1}{3} \div \frac{1}{4} = \frac{4}{3} alternate \: form \: 1 \frac{1}{3} [/tex]

[tex]2) \: 2 \frac{1}{2} \div \frac{1}{3} = n \\ n = \frac{15}{2} [/tex]

[tex]4) \: 4 \frac{2}{5} \div 6 = \frac{11}{15} [/tex]

Step-by-step explanation:

1. B

2. A

3. B

4. C

MULTIPLE CHOICE

Item 1.

Question:

  • What is   [tex]\dfrac{1}{3} \div \dfrac{1}{4}[/tex]?

Choices:

    [tex]\begin{aligned}\text{A. } & 1\dfrac{3}{5} & \text{B. } & 1\dfrac{1}{3} & \text{C. } & \dfrac{1}{3} & \text{D. }\dfrac{1}{12} \end{aligned}[/tex]

Solution:

    [tex]\dfrac{1}{3} \div \dfrac{1}{4} = \dfrac{1}{3} \times \dfrac{4}{1} = \dfrac{4}{3} = 1\dfrac{1}{3}[/tex]

Step-by-step explanation:

  1. Find the reciprocal of the divisor to change the operation into multiplication symbol.
  2. Multiply the two fractional factors.
  3. Reduce (if possible). Then, convert the improper fraction into mixed form of a fraction if possible.

Answer:

  • [tex]\text {B. } 1\dfrac{1}{3}[/tex]

Item 2.

Question:

  • What will you do first in this given equation, [tex]2\dfrac{1}{2} \div \dfrac{1}{3} = N[/tex]?

Choices:

    [tex]\begin{aligned}\text{A. } & \text{divide} \\\text{B. } & \text{find the LCD}\\\text{C. } & \text{convert mixed number to improper fraction}\\\text{D. } & \text{multiply the numerator and then the denominator}\\\end{aligned}[/tex]

Solution & Explanation:

    I. Perform the indicated operation (OPTIONAL).

         [tex]\begin{aligned}2\dfrac{1}{2} \div \dfrac{1}{3} & = N\\\dfrac{5}{2} \div \dfrac{1}{3} & = N\\\dfrac{5}{2} \times \dfrac{3}{1} & = N\\\dfrac{15}{2} & = N & \text{or } & 7\dfrac{1}{2} = N\end{aligned}[/tex]

    II. Determine the first step to find it.

  1. Change the mixed number into improper fraction.
  2. Find the reciprocal of the divisor and change the operation to multiplication.
  3. Multiply the given equation.
  4. Reduce and/or convert into mixed number if possible.

Answer:

  • [tex]\begin{aligned}\text{C. } & \text{convert mixed number to improper fraction}\\\end{aligned}[/tex]

Item 3.

Question:

  • What is the reciprocal of  [tex]\dfrac{4}{7}[/tex]?

Choices:

    [tex]\begin{aligned}\text{A. } & \dfrac{7}{4} & \text{B. } & \dfrac{7}{2} & \text{C. } & \dfrac{1}{2} & \text{D. }\dfrac{1}{7} \end{aligned}[/tex]

Solution:

    [tex]\dfrac{4}{7} = \dfrac{7}{4}[/tex]

Step-by-step explanation:

  • The formula in finding the reciprocal of a fraction is:

         [tex]\boxed {\dfrac{a}{b} = \dfrac{b}{a}}[/tex].

  • To find the reciprocal of a fraction, switch the numerator and the denominator. To find the reciprocal of a number, divide 1 by the number.

Answer:

  • [tex]\text {A. } \dfrac{7}{4}[/tex]

Item 4.

Question:

  • What is [tex]4\dfrac{2}{5} \div 6[/tex] equal to?

Choices:

    [tex]\begin{aligned}\text{A. } & 4\dfrac{2}{5} & \text{B. } & 4\dfrac{2}{3} & \text{C. } & \dfrac{11}{15} & \text{D. }\dfrac{2}{7} \end{aligned}[/tex]

Solution:

    [tex]\begin{aligned}4\dfrac{2}{5} \div 6 = \dfrac{22}{5} \div 6 = \dfrac{22}{5} \times \frac{1}{6} = \frac{22}{30} \Rightarrow \dfrac{11}{15} \end{aligned}[/tex]

Step-by-step explanation:

  1. Convert mixed number into improper fraction.
  2. Find the reciprocal of the divisor to change the operation into multiplication symbol.
  3. Multiply the two fractional factors.
  4. Reduce (if possible). Then, convert the improper fraction into mixed form of a fraction if possible.

Answer:

  • [tex]\text {C. } \dfrac{11}{15}[/tex]

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