Question

Write the following ratios in Simplest form :

(a) 64 : 72

(b) 75 : 105

(c) 800 g : 2 kg

(d) 16 hours : 4 days​

Answer 1

Answer:

A option is correct

plz mark as brainlest

Answer 2

GIVEN :-

✒ Write the following ratios in simplest form

• 64 : 72

• 75 : 105

• 800 g : 2kg

• 16 hours : 4 days

TO FIND :-

• We have to write the ratio in their simplest form

SOLUTION :-

⠀

$\begin{gathered}: \implies \displaystyle \sf HCF \: of \: 64 \: and \: 72 \: is \: 8\\ \\ \\\end{gathered}$

$\begin{gathered}\dashrightarrow\underline{ \boxed{\displaystyle \sf 64:72 = \frac{64 \div 8}{72 \div 8} = \frac{8}{9} = 8: 9}} \\ \\\end{gathered}$

$\begin{gathered}: \implies \displaystyle \sf HCF \: of \: 75 \: and \: 105 \: is \: 15\\ \\ \\\end{gathered}$

$\begin{gathered}\dashrightarrow\underline{ \boxed{\displaystyle \sf 75:105 = \frac{75 \div 15}{102 \div 15} = \frac{5}{7} = 5: 7}} \\ \\\end{gathered}$

___________________

$\\ \\ \\ \begin{gathered}: \implies \displaystyle \sf 2 \: kg = 2000 \: g \: ; HCF \: of \: 800 \: and \: 2000 \: is \: 400 \\ \\ \\\end{gathered} </p><p>$

$\begin{gathered}\dashrightarrow\underline{ \boxed{\displaystyle \sf 800 \: g:2000 \: g = \frac{800 \: g \div 400 \: g}{2000 \: g \div 400 \: g} = \frac{2}{5} = 2: 5}} \\ \\\end{gathered}$

$\begin{gathered}: \implies \displaystyle \sf 4 \: days = 96 \: hours \: ; HCF \: of \: 16 \: and \: 96 \: is \: 16 \\ \\ \\\end{gathered} </p><p>$

$\begin{gathered}\dashrightarrow\underline{ \boxed{\displaystyle \sf 16\: hours:96\: hours = \frac{16\: hours\div 16 \: hours }{96 \: hours \div 16\: hours} = \frac{1}{6} = 1: 6}} \\ \\\end{gathered} </p><p>$