Question
Download Solution PDFWhat should come in place of the question mark (?) in the following question?
\(\rm \frac{\frac{5}{8}\times 2\frac{2}{5}-\frac{5}{4}}{1\frac{1}{4}}=?\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFormula used:
Perform the operations following the order of operations (BODMAS/PEMDAS).
Calculation:
\(\frac{\frac{5}{8}\times 2\frac{2}{5}-\frac{5}{4}}{1\frac{1}{4}}\) = ?
2\(\frac{2}{5}\) = (2×5 + 2)/5 = 12/5
1\(\frac{1}{4}\) = (1×4 + 1)/4 = 5/4
Now, substitute these into the expression:
\(\frac{\frac{5}{8}\times \frac{12}{5}-\frac{5}{4}}{\frac{5}{4}}\) = \(\frac{\frac{5\times 12}{8\times 5}-\frac{5}{4}}{\frac{5}{4}}\) = \(\frac{\frac{60}{40}-\frac{5}{4}}{\frac{5}{4}}\)
⇒ \(\frac{\frac{3}{2}-\frac{5}{4}}{\frac{5}{4}}\) = \(\frac{\frac{6}{4}-\frac{5}{4}}{\frac{5}{4}}\) = \(\frac{\frac{1}{4}}{\frac{5}{4}}\) =\(\frac{1}{4} \times \frac{4}{5}\) = \(\frac{1}{5}\)
The answer is 1/5
Last updated on May 14, 2025
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