Question 567103
1 1/4 divided by 5
You can think of this as
{{{ 1/5 + ((1/4)/5) }}}
It's a little hard to imagine 1/4
divided into 5 equal parts, but if
you multiply the top and bottom
by {{{ 5 }}}, like this:
{{{ (5/5)*(1/4) = 5/20 }}}, the value
hasn't changed, and now you've got
{{{ 5/20 = 1/20 + 1/20 + 1/20 + 1/20 + 1/20 }}}
and it's easy to divide by {{{5}}}
{{{ (5/20)/5 = 1/20 }}}
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So far I've got {{{ 1/5 + 1/20 }}}
Multiply top and bottom of {{{ 1/5 }}} by {{{ 4 }}}
{{{ (4/4)*(1/5) = 4/20 }}}
Now I have {{{ 4/20 + 1/20 }}}
{{{ 4/20 + 1/20 = 5/20 }}}
Divide top and bottom by {{{ 5 }}}
{{{ (5/5) / (20/5) = 1/4 }}} answer
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(5/5) and (4/4) are just {{{ 1 }}}, so
multiplying by them doesn't change the rest