Simplify (5 + 5 × 5 - 5 ÷ 5)/(5 × 5 + 5 - 5 × 5 ÷ 5).

Question 19

HardOriginal question

Simplify $\dfrac{5 + 5 \times 5 - 5 \div 5}{5 \times 5 + 5 - 5 \times 5 \div 5}$ .

\frac{9}{25}

Correct answerYour answer1Correct answerYour answer

\frac{6}{5}

Correct answerYour answer

\frac{29}{25}

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer D

Correct answer: D

Numerator: $5 \times 5 = 25$ and $5 \div 5 = 1$ , so $5 + 25 - 1 = 29$ .
Denominator: $5 \times 5 = 25$ and $5 \times 5 \div 5 = 5$ , so $25 + 5 - 5 = 25$ .
Value $= \frac{29}{25}$ .

Worth noting

Forgetting the $- 5 \div 5$ in the numerator gives $\frac{30}{25} = \frac{6}{5}$ ; working the numerator left to right gives 9 and $\frac{9}{25}$ .

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