Evaluate: 7 1/4 − [ 5/6 ÷ { 1/3 − ( 1/2 × ( 3/4 − 1/2 ) ) } ]

Evaluate:

7\frac{1}{4}-\left[\frac{5}{6}\div\left\{\frac{1}{3}-\left(\frac{1}{2}\times\left(\frac{3}{4}-\frac{1}{2}\right)\right)\right\}\right]

मान ज्ञात कीजिए:

7\frac{1}{4}-\left[\frac{5}{6}\div\left\{\frac{1}{3}-\left(\frac{1}{2}\times\left(\frac{3}{4}-\frac{1}{2}\right)\right)\right\}\right]

A. $-3\frac{1}{4}$

B. $3\frac{1}{4}$ ✅

C. $-2\frac{3}{4}$

D. $2\frac{3}{4}$

✅ $3\frac{1}{4}$

Using the BODMAS rule, evaluate from the innermost brackets outward.
BODMAS नियम का प्रयोग करते हुए सबसे अंदर वाले ब्रैकेट से हल करें।

Step 1 / चरण 1

\frac{3}{4}-\frac{1}{2} = \frac{3}{4}-\frac{2}{4} = \frac{1}{4}

Step 2 / चरण 2

\frac{1}{2}\times\frac{1}{4} = \frac{1}{8}

Step 3 / चरण 3

\frac{1}{3}-\frac{1}{8} = \frac{8-3}{24} = \frac{5}{24}

Step 4 / चरण 4

\frac{5}{6}\div\frac{5}{24} = \frac{5}{6}\times\frac{24}{5} = 4

Step 5 / चरण 5

7 \frac{1}{4} - 4 = 3 \frac{1}{4​}

\boxed{3\frac{1}{4}}

✅ Correct Answer / सही उत्तर: $3\frac{1}{4}$

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