Evaluate 31/2 × 13/7.

Simplification & Approximation · Question 26 of 71

Question 26

EasyOriginal question

Evaluate $3\frac{1}{2} \times 1\frac{3}{7}$ .

5Correct answerYour answer

3\frac{3}{14}

Correct answerYour answer

4\frac{13}{14}

Correct answerYour answer

\frac{49}{20}

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

Convert to improper fractions: $3\frac{1}{2} = \frac{7}{2}$ and $1\frac{3}{7} = \frac{10}{7}$ .
$\frac{7}{2} \times \frac{10}{7} = \frac{70}{14} = 5$ .

Worth noting

Multiplying whole parts and fraction parts separately, $3 \times 1 + \frac{1}{2} \times \frac{3}{7}$ , gives $3\frac{3}{14}$ , which is wrong. Always convert mixed numbers first.

Concept: Multiplying mixed numbers
Typical timeTypical: 40 s
Your timeYours: —

The rule this testsFractions and decimals

Practise this chapter →

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

Practise this chapter →

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

Practise this chapter All 71 questions in Simplification & Approximation Revise the notes for Simplification & Approximation

Evaluate 312×1373\frac{1}{2} \times 1\frac{3}{7}321​×173​.

Explanation

Evaluate $3\frac{1}{2} \times 1\frac{3}{7}$ .