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Equivalent fractions

This task is about working with equivalent fractions.

a) i) Which fraction is not equivalent to

\frac{1}{4}

$1 \over 4$ ?

(A)

\frac{4}{16}

$4 \over 16$

(B)

\frac{8}{32}

$8 \over 32$

(C)

\frac{12}{64}

$12 \over 64$

(D)

\frac{32}{128}

$32 \over 128$

ii) Which fraction is not equivalent to

\frac{15}{45}

$15 \over 45$ ?

(A)

\frac{6}{18}

$6 \over 18$

(B)

\frac{8}{27}

$8 \over 27$

(C)

\frac{12}{36}

$12 \over 36$

(D)

\frac{18}{54}

$18 \over 54$

b) Write these fractions in their simplest form.

			Y9 (03/1999)
a)	i) ii)	C B	moderate moderate
b)	i) ii) iii)	¹/₅ ³/₄ ⁵/₇	difficult difficult difficult

	Common error	Likely calculation	Likely reason
b) i) ii) iii)	, ,		Cannot simplify to simplest form.
b) i) ii) iii)	5 1.6 1.6	= 5 = 1 r 6 = 1 r 6	Inverts and divides (giving answer as whole number plus remainder).
b) i) ii)		1 ÷ (15 ÷ 5) (15 ÷ 5) ÷ 7	Uses wrong common factor (i.e., 5 instead of 3).

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