Question

What is 4 3/4 divided by 3/4​

Answer 1

Explanation:

4 3/4 divided by 3/4

= 19/4 ÷ 3/4

= 19/4 ÷ 4/3

= 19/3

= 6 1/3

Answer 2

Answer: "
`(19)/(3)` " ;

or, write as: "
`6(1)/(3)` " ;

or, write as: " 6.333 " .

______________________________________

Explanation:

Method 1)

`4(3)/(4)` ÷
`(3)/(4)` ;

= 4.75 ÷ 0.75 ;

=
`(4.75)/(0.75)` ;

Now, multiply Both the "numerator" AND the "denonimator" by "100" ; to get rid of both decimal values ;

→
`(4.75)/(0.75)` ;

=
`(4.75*100)/(0.75*100)` ;

Note: Let us start with the "numerator":

_________________________________________

" 4.75 * 100 = ? " ;

→ When we "multiply" by "100" ; we move the decimal place

"Forward" by "2 (two) spaces" ;

→ {that is; "Forward" because we "multiply" ; and "2 (two)" spaces because we are multiplying by a positive integer value that begins with a "1" followed by: "2 (two)" whole-number digits; specifically; we are multiplying by the number; "100" .}.

→ 4.75 * 100 = 475.

_________________________________________

Now, continue with the "denominator":

_________________________________________

→ 0.75 * 100 = 75.

_________________________________________

Now, rewrite the expression:

_________________________________________

→ 4.75 ÷ 0.75 ;

=
`(4.75*100)/(0.75*100)` ;

=
`(475)/(75)` ;

To simplify, divide Both the "numerator" AND the "denominator" by: "25" ;

→
`(475)/(75)` ;

= {475÷25} / {75÷25} ;

= 19/3 ;

Write the answer as:

→ "
`(19)/(3)` " ;

as the most simplified form of an "improper fraction" ;

or: →
`(19)/(3)`

= 19 / 3 = 19 ÷ 3 = ? ;

______________________________________

6 R 1

3 ⟌19

- 18

1

______________________________________

→ or: write as: "
`6(1)/(3)` " ;

or using calculator: 19/3 = 19 ÷ 3 = 6.333333.... ; → round to: " 6.333 " .

______________________________________

The answer is: "
`(19)/(3)` " ;

or, write as: "
`6(1)/(3)` " ;

or, write as: " 6.333 " .

______________________________________

Method 2)
`4(3)/(4)` ÷
`(3)/(4)` = ? ;

______________________________________

Convert: "
`4(3)/(4)` " to an "improper fraction" ;

→
`4(3)/(4)` ;

→ Multiply the "4" [taken from "4" in the "
`(3)/(4)`" ];

by the "whole number , "4" ; to get "16" ;

then Add "3" [taken from the "3" in the "
`(3)/(4)`" ];

to the "16" ; to get:

→ 16 + 3 ;

= " 19" ;

→ which is the "numerator" of the "improper fraction" form of the "original, mixed number version" ;

→ The "4" [taken from "4" in the "
`(3)/(4)`" ]; is the

"denominator" of the "improper fraction" form of the "original, mixed number version" ;

→ And rewrite the mixed number: "
`4(3)/(4)` " ; as:

→ "
`(19)/(4)` " .

Now, we can rewrite the original problem:

→
`(19)/(4)` ÷
`(3)/(4)` ;

Note that "dividing by
`(3)/(4)` " ; is the same as:

" multiplying by the reciprocal" [i.e. "
`(4)/(3)` " .].

_____________________________________

So, we can rewrite the original given expression in the problem as:

→
`(19)/(4)` *
`(4)/(3)` ;

And simplify: The "4's " cancel out to "1" ; {since: "4÷4 = 1"};

and we are left with: (19/1) * (1/3) = (19 * 1) / ( 1 *3) = 19 / 3 ;

And we can continue as aforementioned using "Method 1" above.

________________________________________

Hope this is helpful to you! Best wishes!

________________________________________