Question

convert the following retional number into desimal with out atual division 21/105​

Answer 1

Given :

$\tt{→ Decimal \: Number = \frac{21}{105}}$

t

To Find :

→ Convert the rational numbers into decimal

sᴏℓᴜᴛɪᴏɴ :

→ Multiple numerator and denominator by “10”.

$\tt{→ \frac{21 \: \times \: 10}{105 \: \times \: 10}}$

$\tt{ → Rewrite \: 10 \: as \: {5} \times {2}}$

$\tt{→ \frac{21 \: \times \: 5 \: \times 2}{105 \: \times \: 5 \times \: 2 }}$

→ Multiply 21 & 5

$\tt{→ \frac{105 \: \times \: 2 }{105 \: \times \: 10}}$

→ Cancel 105 here by numerator to denominator .

$\tt{→ \frac{2}{10}}$

$\tt{→0.2}$