Question 1019475
What is the numerical expression 5/8- 5/12(3-1/4)+2/3 equal to?
:
{{{5/8}}} - {{{5/12}}}{{{(3-(1/4))}}} + {{{2/3}}}
the least common denominator of 8, 12, 3; is 24, so we have 
{{{15/24}}} - {{{10/24}}}{{{(3-(1/4))}}} + {{{16/24}}}
combine the first and last fractions
{{{31/24}}} - {{{10/24}}}{{{(3-(1/4))}}}
do the math inside the brackets
{{{31/24}}} - {{{10/24}}}{{{((12/4)-(1/4))}}}
{{{31/24}}} - {{{10/24}}}{{{(11/4)}}}
multiply the two fractions
{{{31/24}}} - {{{110/96}}}
The common denominator of these two fractions is 96, so we have
{{{124/96}}} - {{{110/96}}} = {{{14/96}}} reduces to {{{7/48}}}