Question

63 1/4 divided by 2 1/5

Answer 1

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

Answer 2

`\boxed{ \bold{ \huge{\boxed{ \sf{28 (3)/(4) }}}}}`

Explanation:

`\sf{63 (1)/(4) / 2 (1)/(5) }`

Convert mixed fraction into improper fraction

⇒
`\sf{ (63 * 4 + 1)/( 4) / (5 * 2 + 1)/(5) }`

⇒
`\sf{ (252 + 1)/(4) / (10 + 1)/(5) }`

⇒
`\sf{ (253)/(4) / (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{ (253)/(4) * (5)/(11) }`

Reduce the numbers with Greatest common factor 11

⇒
`\sf{ (23)/(4) * (5)/(1) }`

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

⇒
`\sf{ (23 * 5)/(4 * 1) }`

⇒
`\sf{ (115)/(4) }`

Convert improper fraction into mixed fraction

⇒
`\sf{28 (3)/(4) }`

Hope I helped!

Best regards!