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Identify the total number of pieces and the fraction eaten.

Mathematics

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Answer

6 pieces\text{6 pieces}

20 learners\text{20 learners}

1341\frac{3}{4}

Step-by-step solution

8 steps

1. A chocolate has 12 pieces, you eat 6/12. How many pieces did you eat?

  1. Identify the total number of pieces and the fraction eaten.

    Total pieces = 12
    Fraction eaten = 612\frac{6}{12}

  2. Multiply the total pieces by the fraction eaten.

    Pieces eaten=12×612\text{Pieces eaten} = 12 \times \frac{6}{12}

  3. Calculate the result.

    Pieces eaten=12×612=7212=6\text{Pieces eaten} = \frac{12 \times 6}{12} = \frac{72}{12} = 6

    You ate 6 pieces.

    6 pieces\boxed{\text{6 pieces}}

    2. There are 30 learners, 2/3 are present. How many learners are present?

  4. Identify the total number of learners and the fraction present.

    Total learners = 30
    Fraction present = 23\frac{2}{3}

  5. Multiply the total learners by the fraction present.

    Learners present=30×23\text{Learners present} = 30 \times \frac{2}{3}

  6. Calculate the result.

    Learners present=30×23=603=20\text{Learners present} = \frac{30 \times 2}{3} = \frac{60}{3} = 20

    20 learners are present.

    20 learners\boxed{\text{20 learners}}

    3. Convert the fraction below into a mixed fraction: 7/4 =

  7. Divide the numerator by the denominator.

    7÷47 \div 4

    7 divided by 4 is 1 with a remainder of 3.

  8. Write the mixed fraction using the quotient as the whole number, the remainder as the new numerator, and the original denominator.

    74=134\frac{7}{4} = 1\frac{3}{4}

    The mixed fraction is ∗134∗*1\frac{3}{4}*.

    134\boxed{1\frac{3}{4}}
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