Question

Estimate then answer the equation.

Answer 1

Answer:

$7\frac{1}{4} -2\frac{5}{12} =\frac{58}{12} =4\frac{10}{12}$

Step-by-step explanation:

Given:

$7\frac{1}{4} =\frac{7\times 4 +1}{4}=\frac{29}{4}$

$2\frac{5}{12}=\frac{12\times 2+5}{12}=\frac{29}{12}$

To Find:

$7\frac{1}{4} -2\frac{5}{12} =?$

Solution

Substituting the above values we get

$7\frac{1}{4} -2\frac{5}{12} =\frac{29}{4} -\frac{29}{12}$

Now make both the denominator same by multiplying and dividing by 3 to the first term so we get

$7\frac{1}{4} -2\frac{5}{12} =\frac{29\times 3}{4\times 3} -\frac{29}{12}\\\\7\frac{1}{4} -2\frac{5}{12} =\frac{87}{12} -\frac{29}{12}\\\\7\frac{1}{4} -2\frac{5}{12} =\frac{87-29}{12}\\\\7\frac{1}{4} -2\frac{5}{12} =\frac{58}{12} =4\frac{10}{12}$

∴ $7\frac{1}{4} -2\frac{5}{12} =\frac{58}{12} =4\frac{10}{12}$