Answer:
[tex] \boxed{ \bold{ \huge{\boxed{ \sf{28 \frac{3}{4} }}}}}[/tex]
Step-by-step explanation:
[tex] \sf{63 \frac{1}{4} \div 2 \frac{1}{5} }[/tex]
Convert mixed fraction into improper fraction
⇒[tex] \sf{ \frac{63 \times 4 + 1}{ 4} \div \frac{5 \times 2 + 1}{5} }[/tex]
⇒[tex] \sf{ \frac{252 + 1}{4} \div \frac{10 + 1}{5} }[/tex]
⇒[tex] \sf{ \frac{253}{4} \div \frac{11}{5} }[/tex]
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.
⇒[tex] \sf{ \frac{253}{4} \times \frac{5}{11} }[/tex]
Reduce the numbers with Greatest common factor 11
⇒[tex] \sf{ \frac{23}{4} \times \frac{5}{1} }[/tex]
To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator
⇒[tex] \sf{ \frac{23 \times 5}{4 \times 1} }[/tex]
⇒[tex] \sf{ \frac{115}{4} }[/tex]
Convert improper fraction into mixed fraction
⇒[tex] \sf{28 \frac{3}{4} }[/tex]
Hope I helped!
Best regards!
