Question

Can anyone please answer and explain this to me

Answer 1

Step-by-step explanation:

(a)

(i) 1/3×27= 9

(ii) 1/6×48 = 8

(b)

(i) 1/2 of an hour =1/2×60 = 30 minutes

(ii) 3/10 of an hour =3/10×60 = 18 minutes

(c)

(i) 2/3 of a dozen = 2/3×12 = 2×4 =8

(ii) 4/6 of a dozen = 4/6×12 =4×2=8

(d)

(i) 1/4 of a kg = 1/4 ×1000= 250g

(ii) 5/10 of a dozen = 5/10 ×12 = 6

(e)

(i) 4/5 of a litre= 4/5×1000= 4×200 =800ml

(ii) 2/10 of 500ml = 100ml

hope the answer will help you

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Answer 2

Answer:

(a) What is

$\small\sf{(i) \quad\dfrac{1}{2} \: of \: 27}$

${: \implies{\small\sf{\dfrac{1}{3} \times 27}}}$

${: \implies{\small\sf{\dfrac{27}{3}}}}$

${: \implies{\small{\sf{\cancel{\dfrac{27}{3}}}}}}$

${: \implies{\small{\sf{9}}}}$

${\bigstar \: {\small\underline{\boxed{\sf{\red{Answer = 9}}}}}}$

∴ The answer is 9.

$\rule{200}2$

$\small\sf{(i) \quad\dfrac{1}{6} \: of \: 48}$

${: \implies{\small\sf{\dfrac{1}{6} \times 48}}}$

${: \implies{\small\sf{\dfrac{48}{6}}}}$

${: \implies{\small{\sf{\cancel{\dfrac{48}{6}}}}}}$

${\bigstar \: {\small\underline{\boxed{\sf{\red{Answer = 8}}}}}}$

∴ The answer is 8.

━┅━┅━┅━┅━┅━┅━┅━┅━┅━

(b) If 1 hour = 60 minutes, then

$\small\sf{(i) \quad\dfrac{1}{2} \: of \: an \: hour}$

${: \implies{\small\sf{\dfrac{1}{2} \times 60 \: minutes}}}$

${: \implies{\small\sf{\dfrac{60 \: minutes}{2}}}}$

${: \implies{\small\sf{\cancel\dfrac{60 \: minutes}{2}}}}$

${: \implies{\small\sf{30\: minutes}}}$

${\bigstar \: {\small\underline{\boxed{\sf{\red{Answer = 30 \: minutes}}}}}}$

∴ The answer is 30 minutes.

$\rule{200}2$

$\small\sf{(i) \quad\dfrac{3}{10} \: of \: an \: hour}$

${: \implies{\small\sf{\dfrac{3}{10} \times 60 \: minutes}}}$

${: \implies{\small\sf{\dfrac{3\times 60 \: minutes}{10}}}}$

${: \implies{\small\sf{\dfrac{180 \: minutes}{10}}}}$

${: \implies{\small\sf{\cancel{\dfrac{180 \: minutes}{10}}}}}$

${: \implies{\small\sf{18 \: minutes}}}$

${\bigstar \: {\small\underline{\boxed{\sf{\red{Answer = 18 \: minutes}}}}}}$

∴ The answer is 18 minutes.

━┅━┅━┅━┅━┅━┅━┅━┅━┅━

(c) If 1 dozen = 12, then

$\small\sf{(i) \quad\dfrac{2}{3} \: of \: a \: dozen}$

$: \implies\sf{\dfrac{2}{3} \: of \:12}$

$: \implies\sf{\dfrac{2}{3} \times \:12}$

$: \implies\sf{\dfrac{2 \times 12}{3}}$

$: \implies\sf{\dfrac{24}{3}}$

$: \implies\sf{\cancel{\dfrac{24}{3}}}$

$: \implies\sf{8}$

${\bigstar \: {\small\underline{\boxed{\sf{\red{Answer = 8}}}}}}$

∴ The answer is 8.

$\rule{200}2$

$\small\sf{(ii) \quad\dfrac{4}{6} \: of \: a \: dozen}$

$: \implies\small\sf{\dfrac{4}{6} \: of \: 12}$

$: \implies\small\sf{\dfrac{4}{6} \times 12}$

$: \implies\small\sf{\dfrac{4 \times 12}{6}}$

$: \implies\small\sf{\dfrac{48}{6}}$

$: \implies\small\sf{ \cancel{\dfrac{48}{6}}}$

${\bigstar \: {\small\underline{\boxed{\sf{\red{Answer = 8}}}}}}$

∴ The answer is 8.

━┅━┅━┅━┅━┅━┅━┅━┅━┅━

(d) If 1 kg = 1000 g, then

$\small\sf{(i) \quad\dfrac{1}{4} \: of \: a \: kg}$

$: \implies\small\sf{\dfrac{1}{4} \: of \: 1000}$

$: \implies\small\sf{\dfrac{1}{4} \times 1000}$

$: \implies\small\sf{\dfrac{1000}{4}}$

$: \implies\small\sf{ \cancel{\dfrac{1000}{4}}}$

$: \implies\small\sf{250 \: g}$

${\bigstar \: {\small\underline{\boxed{\sf{\red{Answer = 250 \: g}}}}}}$

∴ The answeris 250 g.

$\rule{200}2$

$\small\sf{(ii) \quad\dfrac{5}{10} \: of \:a \: dozen }$

$: \implies\small\sf{\dfrac{5}{10} \: of \: 12 }$

$: \implies\small\sf{\dfrac{5}{10} \times 12 }$

$: \implies\small\sf{\dfrac{5 \times 12}{10}}$

$: \implies\small\sf{\dfrac{60}{10}}$

$: \implies\small\sf{\cancel{\dfrac{60}{10}}}$

$: \implies\small{\sf{6}}$

${\bigstar \: {\small\underline{\boxed{\sf{\red{Answer = 6}}}}}}$

∴ The answer is 6.

━┅━┅━┅━┅━┅━┅━┅━┅━┅━

(e) If 1 litre = 1000 ml, then

$\small\sf{(i) \quad\dfrac{4}{5} \: of \: a \: litre}$

$: \implies\small\sf{\dfrac{4}{5} \: of \: 1000}$

$: \implies\small\sf{\dfrac{4}{5} \times 1000}$

$: \implies\small\sf{\dfrac{4 \times 1000}{2}}$

$: \implies\small\sf{\cancel{\dfrac{4000}{5}}}$

$: \implies\small{\sf{800 \: ml}}$

${\bigstar \: {\small\underline{\boxed{\sf{\red{Answer = 800\: ml}}}}}}$

∴ The answer is 800 ml.

$\rule{200}2$

$\small\sf{(ii) \quad\dfrac{2}{10} \: of \: 500 \: ml}$

$: \implies\small\sf{\dfrac{2}{10} \: of \: 500 \: ml}$

$: \implies\small\sf{\dfrac{2}{10} \times 500 \: ml}$

$: \implies\small\sf{\dfrac{2 \times 500 \: ml}{10}}$

$: \implies\small\sf{\dfrac{1000 \: ml}{10}}$

$: \implies\small\sf{\cancel{\dfrac{1000 \: ml}{10}}}$

$: \implies\small{\sf{100 \:ml}}$

${\bigstar \: {\small\underline{\boxed{\sf{\red{Answer = 100 \: ml}}}}}}$

∴ The answer is 100 ml.

$\underline{\rule{220pt}{2.5pt}}$