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Questions and Answers
What is the result of $3 imes \frac{1}{4}$?
What is the result of $3 imes \frac{1}{4}$?
If $\frac{2}{3}$ of a number is 24, what is the number?
If $\frac{2}{3}$ of a number is 24, what is the number?
What is $\frac{5}{8}$ expressed as a percentage?
What is $\frac{5}{8}$ expressed as a percentage?
Which of the following is equivalent to $5 imes rac{2}{3}$?
Which of the following is equivalent to $5 imes rac{2}{3}$?
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If $rac{3}{4}$ of a quantity is 36, what is the quantity?
If $rac{3}{4}$ of a quantity is 36, what is the quantity?
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What is the result of $2 \times \frac{1}{3}$?
What is the result of $2 \times \frac{1}{3}$?
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Express $1 rac{1}{2}$ as an improper fraction.
Express $1 rac{1}{2}$ as an improper fraction.
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Express $4 \times \frac{2}{5}$ as a fraction in its simplest form.
Express $4 \times \frac{2}{5}$ as a fraction in its simplest form.
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If $\frac{3}{8}$ of a quantity is 24, what is the quantity?
If $\frac{3}{8}$ of a quantity is 24, what is the quantity?
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Study Notes
Multiplication with Fractions
- The result of (3 \times \frac{1}{4}) is (\frac{3}{4}).
- To multiply a whole number by a fraction, multiply the whole number by the numerator and keep the denominator the same.
Solving for Unknowns
- If (\frac{2}{3}) of a number equals 24, then the number is calculated as follows:
- Multiply both sides by (\frac{3}{2}) leading to (N = 24 \times \frac{3}{2} = 36).
Fractions as Percentages
- (\frac{5}{8}) expressed as a percentage is calculated by multiplying by 100:
- (\frac{5}{8} \times 100 = 62.5%).
Equivalent Fractions
- (5 \times \frac{2}{3}) can be rewritten as (\frac{10}{3}) which is an equivalent expression.
Another Unknown Calculation
- If (\frac{3}{4}) of a quantity equals 36, find the quantity:
- Multiply both sides by (\frac{4}{3}), leading to (Q = 36 \times \frac{4}{3} = 48).
More Multiplication with Fractions
- The result of (2 \times \frac{1}{3}) is (\frac{2}{3}).
Improper Fractions
- To express (1 \frac{1}{2}) as an improper fraction, convert:
- (1 \frac{1}{2} = \frac{3}{2}).
Simplifying Fractions
- To express (4 \times \frac{2}{5}) in simplest form, calculate:
- (4 \times \frac{2}{5} = \frac{8}{5}) which is already in simplest form.
Quantity from a Fraction
- If (\frac{3}{8}) of a quantity is 24, solve for that quantity:
- Multiply by (\frac{8}{3}), resulting in (Q = 24 \times \frac{8}{3} = 64).
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Description
Test your skills with fraction operations and conversions to percentages. Solve equations involving fractions and percentages.
