Question

63 1/4 divided by 2 1/5

Answer 1

63 1/4 divided by 2 1/5 is 253/40

Answer 2

Answer:

$\boxed{ \bold{ \huge{\boxed{ \sf{28 \frac{3}{4} }}}}}$

Step-by-step explanation:

$\sf{63 \frac{1}{4} \div 2 \frac{1}{5} }$

Convert mixed fraction into improper fraction

⇒$\sf{ \frac{63 \times 4 + 1}{ 4} \div \frac{5 \times 2 + 1}{5} }$

⇒$\sf{ \frac{252 + 1}{4} \div \frac{10 + 1}{5} }$

⇒$\sf{ \frac{253}{4} \div \frac{11}{5} }$

We know that division by fraction is the inverse of multiplication. If any number or fraction is divided by a fraction, we multiply the dividend by the reciprocal of the divisor.

⇒$\sf{ \frac{253}{4} \times \frac{5}{11} }$

Reduce the numbers with Greatest common factor 11

⇒$\sf{ \frac{23}{4} \times \frac{5}{1} }$

To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator

⇒$\sf{ \frac{23 \times 5}{4 \times 1} }$

⇒$\sf{ \frac{115}{4} }$

Convert improper fraction into mixed fraction

⇒$\sf{28 \frac{3}{4} }$

Hope I helped!

Best regards!