Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2 \frac{1}{4} }}}}}[/tex]
Option C is the correct option.
Step-by-step explanation:
[tex] \sf{12 \frac{3}{8} \div 5 \frac{1}{2} }[/tex]
Convert mixed fraction into improper fraction
⇒[tex] \sf{ \frac{12 \times 8 + 3}{8} \div \frac{5 \times 2 + 1}{2} }[/tex]
⇒[tex] \sf{ \frac{99}{8} \div \frac{11}{2} }[/tex]
When any number or fraction is divided by a fraction , we multiply the dividend by reciprocal of the divisor
⇒[tex] \sf{ \frac{99}{8} \times \frac{2}{11} }[/tex]
To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term.
⇒[tex] \sf{ \frac{99 \times 2}{8 \times 11}} [/tex]
⇒[tex] \sf{ \frac{198}{88} }[/tex]
⇒[tex] \sf{ \frac{9}{4} }[/tex]
Convert the improper fraction into mixed fraction
⇒[tex] \sf{2 \frac{1}{4} }[/tex]
Hope I helped !
Best regards! :D
