Question

What is `85.65-:0.05`?

Answer 1

`85.65-:0.05=1713`

Explanation:

A division by any fraction, including decimal fraction, is equivalent to multiplication by its reciprocal also called multiplicative inverse.

The reciprocal or multiplicative inverse.of a fraction `a/b` is just `b/a`, as their product is `1`, the identity element for multiplication.

Hence we can write `85.65-:0.05`

= `8565/100-:5/100`

= `8565/100xx100/5`

= `(1713cancel8565)/cancel100xx(cancel100)/(1cancel5)`

= `1713`

Answer 2

`1713`

Explanation:

The simple answer to a question involving division by a decimal is..
"you can't#

Change it into a division by a whole number.

`85.65/0.05 xx 100/100 = 8565/5`

This is allowed because `100/100 = 1` and multiplication by 1 does not change the value.We have only changed what it looks like.

Both the top and bottom were multiplied by 100.

`8565/5` now divide as usual.

=`1713`