This is a tricky one. To start, lets fix those fractions.
The mixed number 5 1/4 can be turned into an improper fraction. Since 5 is a whole number and it's taken by 1/4, each whole number means 4 added to the numerator.
5 1/4
4 5/4
3 9/4
2 13/4
1 17/4
21/4
Now we have to deal with the 7/16. This is a simplified fraction. You can't exactly do anything with it.
To solve this problem, we need to get x by itself. To do this, we need to subtract the 7/16 from 21/4. but we can't do this. 16 and 4 do not equal each other. To make this work, we have to change the 4 into 16. 4*4 is 16, so we multiply the TOP AND BOTTOM numbers of 21/4
4*21/4*4
Simplify.
84/16.
Now, the denominators are the same.
To get x by itself, we need to use the inverse operation of + 7/16. We have to subtract 7/16 from BOTH sides of the equation.
84/16 (-7/16) = x + 7/16 (-7/16)
The 7/16's cancel, so simplify.
77/16 = x
77/16 cannot be reduced. This is the final answer.
Hope this helps.
+118609 Just subtract 7/16 from both sides.
$$\left({\mathtt{5}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{4}}}}\right){\mathtt{\,-\,}}\left({\frac{{\mathtt{7}}}{{\mathtt{16}}}}\right) = {\frac{{\mathtt{77}}}{{\mathtt{16}}}} = {\mathtt{4.812\: \!5}}$$
