Solve 1/2div4=6+1/6

$$\frac { 1 } { 2 } \div 4 = 6 + \frac { 1 } { 6 }$$

Verify

Solution Steps

Express \frac{\frac{1}{2}}{4} as a single fraction.

$$\frac{1}{2\times 4}=6+\frac{1}{6}$$

Multiply 2 and 4 to get 8.

$$\frac{1}{8}=6+\frac{1}{6}$$

Convert 6 to fraction \frac{36}{6}.

$$\frac{1}{8}=\frac{36}{6}+\frac{1}{6}$$

Since \frac{36}{6} and \frac{1}{6} have the same denominator, add them by adding their numerators.

$$\frac{1}{8}=\frac{36+1}{6}$$

Add 36 and 1 to get 37.

$$\frac{1}{8}=\frac{37}{6}$$

Least common multiple of 8 and 6 is 24. Convert \frac{1}{8} and \frac{37}{6} to fractions with denominator 24.

$$\frac{3}{24}=\frac{148}{24}$$

Compare \frac{3}{24} and \frac{148}{24}.

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