Answer:
[tex]7\frac{1}{4} -2\frac{5}{12} =\frac{58}{12} =4\frac{10}{12}[/tex]
Step-by-step explanation:
Given:
[tex]7\frac{1}{4} =\frac{7\times 4 +1}{4}=\frac{29}{4} [/tex]
[tex]2\frac{5}{12}=\frac{12\times 2+5}{12}=\frac{29}{12}[/tex]
To Find:
[tex]7\frac{1}{4} -2\frac{5}{12} =?[/tex]
Solution
Substituting the above values we get
[tex]7\frac{1}{4} -2\frac{5}{12} =\frac{29}{4} -\frac{29}{12}[/tex]
Now make both the denominator same by multiplying and dividing by 3 to the first term so we get
[tex]7\frac{1}{4} -2\frac{5}{12} =\frac{29\times 3}{4\times 3} -\frac{29}{12}\\\\7\frac{1}{4} -2\frac{5}{12} =\frac{87}{12} -\frac{29}{12}\\\\7\frac{1}{4} -2\frac{5}{12} =\frac{87-29}{12}\\\\7\frac{1}{4} -2\frac{5}{12} =\frac{58}{12} =4\frac{10}{12}[/tex]
∴ [tex]7\frac{1}{4} -2\frac{5}{12} =\frac{58}{12} =4\frac{10}{12}[/tex]
