Question

What is the value of 9/10 divided by 1/5?

Answer 1

`\huge\textsf{Hey there!}`

`\mathsf{(9)/(10) / (1)/(5)}`

`\mathsf{= (9)/(10)*(5)/(1)}`

`\mathsf{= (9*5)/(10*1)}`

`\mathsf{9 * 5 = \boxed{\bf 45} \ (numerator)}`

`\mathsf{10* 1 = \boxed{\bf 10} \ (denominator)}`

`\mathsf{= (45)/(10)}`

BOTH NUMBERS HAVE the GCF (Greatest Common Multiple) of 5, so we are going to DIVIDE BOTH THE NUMERATORS by 5

`\mathsf{= (45/5)/(10/5)}`

`\mathsf{45/ 5 = \boxed{\bf 9} \ (numerator)}`

`\mathsf{10 / 5 = \boxed{\bf 2} \ (denominator)}`

`\mathsf{= (9)/(2)}`

CONVERT YOUR CURRENT FRACTION to a MIXED NUMBER

`\mathsf{= 4(1)/(2)}`

`\boxed{\boxed{\large\text{Answer: }\mathsf{\bf 4 (1)/(2)}\large\text{ \bf or }\mathsf{\bf (9)/(2)}}}\huge\checkmark`

`\large\textsf{Good luck on your assignment and enjoy your day!}`

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