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Learning Task 3. Perform the indicated operation. Compare the quotient of each expression. Write >,​

Learning Task 3 Perform The Indicated Operation Compare The Quotient Of Each Expression Write Gt class=

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Misspancitcantongo

Learning Task 3: Comparing Quotient

To compare the quotients, >, < and = symbols are used. Each symbol is the same as a crocodile and its mouth opens to the greater value.

  1. 1 ⅘ < 3 ⅕
  2. 17 ‌3⁄7‌ < 33
  3. 6 ‌2⁄9 < 10
  4. 6 ‌1⁄9 > ‌13⁄132
  5. 3 ‌4⁄7‌ < 28

How to Divide Fractions, Whole Numbers and Mixed Numbers

These are the steps to remember to find the quotient of the given expressions above.

Step 1: If there are mixed number or whole number in an expression.

  • Mixed Number: Change it to improper fraction by multiplying the denominator by the whole number, plus the numerator.
  • Whole Number: Write it as a fraction by putting 1 at its denominator.

Step 2:

  • Give the reciprocal of the second fraction and change the division sign to a multiplication sign.

Step 3:

  • Multiply and simplify, if possible.

To understand more how to come up with the quotient of each expression, let us have some examples. Let us use the expressions in number 1.

3⁄5 ÷ 1⁄3 = 3⁄5 × 3⁄1 = 9⁄5 or 1 ⅘

1 1⁄5 ÷ 3⁄8 = 6⁄5 × 8⁄3 = 48⁄15 or 3 3⁄15 or 3 1⁄5

Examples of fraction word problems:

https://brainly.ph/question/5232688

https://brainly.ph/question/3730820

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Division of Fractions

In dividing two fractions, multiply the first fraction by the reciprocal of the second fraction. First, find the reciprocal of the second fraction. Then, multiply the two denominators. Finally, simplify the fractions if needed. To simplify the quotient, use the greatest common factor of the numerator and the denominator.

Learning Task 5:

Answers:

  1. 1 [tex]\frac{4}{5}[/tex] < 3 [tex]\frac{1}{5}[/tex]
  2. 17 [tex]\frac{3}{7}[/tex] < 33
  3. 6 [tex]\frac{2}{9}[/tex] < 10
  4. 6 [tex]\frac{1}{9}[/tex] >  [tex]\frac{13}{132}[/tex]
  5. 3 [tex]\frac{4}{7}[/tex] < 28

Solutions:

1. [tex]\frac{3}{5}[/tex] ÷ [tex]\frac{1}{3}[/tex] =

1 [tex]\frac{1}{5}[/tex] ÷ [tex]\frac{3}{8}[/tex] = [tex]\frac{6}{5}[/tex] × [tex]\frac{8}{3}[/tex] = [tex]\frac{48}{15}[/tex] = 3 [tex]\frac{3}{15}[/tex] ÷ [tex]\frac{3}{3}[/tex] = 3

2. 8 [tex]\frac{5}{7}[/tex] ÷ [tex]\frac{1}{2}[/tex] = [tex]\frac{61}{7}[/tex] × [tex]\frac{2}{1}[/tex] = [tex]\frac{122}{7}[/tex] = 17 [tex]\frac{3}{7}[/tex]

11 ÷ [tex]\frac{1}{3}[/tex] = [tex]\frac{11}{1}[/tex] × [tex]\frac{3}{1}[/tex] = [tex]\frac{33}{1}[/tex] = 33

3. 5 [tex]\frac{4}{9}[/tex] ÷ [tex]\frac{7}{8}[/tex] = [tex]\frac{49}{9}[/tex] × [tex]\frac{8}{7}[/tex] = [tex]\frac{392}{63}[/tex] = 6 [tex]\frac{14}{63}[/tex] ÷ [tex]\frac{7}{7}[/tex] = 6 [tex]\frac{2}{9}[/tex]

6 ÷ [tex]\frac{3}{5}[/tex] = [tex]\frac{6}{1}[/tex] × [tex]\frac{5}{3}[/tex] = [tex]\frac{30}{3}[/tex] = 10

4. 18 [tex]\frac{1}{3}[/tex] ÷ 3 = [tex]\frac{55}{3}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{55}{9}[/tex] = 6 [tex]\frac{1}{9}[/tex]

[tex]\frac{3}{4}[/tex] ÷ 7 [tex]\frac{8}{13}[/tex] = [tex]\frac{3}{4}[/tex] × [tex]\frac{13}{99}[/tex] = [tex]\frac{13}{132}[/tex]

5. 10 ÷ 2 [tex]\frac{4}{5}[/tex] = [tex]\frac{10}{1}[/tex] × [tex]\frac{5}{14}[/tex] = [tex]\frac{50}{14}[/tex] = 3 [tex]\frac{8}{14}[/tex] ÷ [tex]\frac{2}{2}[/tex] = 3 [tex]\frac{4}{7}[/tex]

4 [tex]\frac{3}{8}[/tex] ÷ [tex]\frac{5}{32}[/tex] = [tex]\frac{35}{8}[/tex] × [tex]\frac{32}{5}[/tex] = 7 x 4 = 28

How to divide fractions: https://brainly.ph/question/6988148

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