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Convert fractions, decimals, and percentages to each other. Calculate percentages of amounts and solve word problems involving percentages.
Mathematics
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6 stepsHere are the solutions to the problems:
The first two questions involve shading shapes, which I cannot do directly. However, I can provide the numerical representations.
A half can be written...
- As a fraction:
- As a decimal:
- As a percentage:
A quarter can be written...
- As a fraction:
- As a decimal:
- As a percentage:
Complete the following:
- What is 80% of R1.00?
- What is 0.5 of R1.00?
- What is of R1.00?
- What is 25% of R1.00?
- What is 0.25 of R1.00?
- What is of R1.00?
Complete the following (Grade 6 children):
There are 120 children in grade 6.
- 30% of the children are boys. How many children are boys?
Convert the percentage to a decimal.
$$ 30\% = 0.30 $$Multiply the decimal by the total number of children.
$$ 0.30 \times 120 = \boxed{36 \text{ boys}} $$- 25% of the children like strawberry ice cream. How many children like strawberry ice cream?
Convert the percentage to a decimal.
$$ 25\% = 0.25 $$Multiply the decimal by the total number of children.
$$ 0.25 \times 120 = \boxed{30 \text{ children}} $$-
What percentage of children like other flavoured ice-creams? If 25% like strawberry ice cream, then the remaining percentage likes other flavours.
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How many children like other flavoured ice-creams?
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Convert the percentage for other flavours to a decimal.
$$ 75\% = 0.75 $$Multiply the decimal by the total number of children.
$$ 0.75 \times 120 = \boxed{90 \text{ children}} $$
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