Simplify (21/3 - 11/2)/(2/3 of 11/4).

Question 39

HardOriginal question

Simplify $\dfrac{2\frac{1}{3} - 1\frac{1}{2}}{\frac{2}{3} \text{ of } 1\frac{1}{4}}$ .

1Correct answerYour answer

\frac{25}{36}

Correct answerYour answer

\frac{36}{25}

Correct answerYour answer

\frac{25}{16}

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

Numerator: $\frac{7}{3} - \frac{3}{2} = \frac{14 - 9}{6} = \frac{5}{6}$ .
Denominator: $\frac{2}{3} \times \frac{5}{4} = \frac{10}{12} = \frac{5}{6}$ .
Value $= \frac{5}{6} \div \frac{5}{6} = 1$ .

Worth noting

'Of' means multiply. Dividing $\frac{2}{3}$ by $1\frac{1}{4}$ instead makes the denominator $\frac{8}{15}$ and the answer $\frac{25}{16}$ ; multiplying numerator by denominator gives $\frac{25}{36}$ .

Concept: Mixed numbers and 'of' inside a complex fraction
Typical timeTypical: 90 s
Your timeYours: —

The rule this testsFractions and decimals

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Ten questions from Simplification & Approximation, at your own pace.

Simplify 213−11223 of 114\dfrac{2\frac{1}{3} - 1\frac{1}{2}}{\frac{2}{3} \text{ of } 1\frac{1}{4}}32​ of 141​231​−121​​.

Explanation

Simplify $\dfrac{2\frac{1}{3} - 1\frac{1}{2}}{\frac{2}{3} \text{ of } 1\frac{1}{4}}$ .