Solve 22/6=3/11quad328/24=37/6

$$\frac { 22 } { 6 } = \frac { 3 } { 11 } \quad 3 \frac { 28 } { 24 } = 3 \frac { 7 } { 6 }$$

Verify

Solution Steps

Reduce the fraction \frac{22}{6} to lowest terms by extracting and canceling out 2.

$$\frac{11}{3}=\frac{3}{11}\times \frac{3\times 24+28}{24}\text{ and }\frac{3}{11}\times \frac{3\times 24+28}{24}=\frac{3\times 6+7}{6}$$

Multiply 3 and 24 to get 72.

$$\frac{11}{3}=\frac{3}{11}\times \frac{72+28}{24}\text{ and }\frac{3}{11}\times \frac{3\times 24+28}{24}=\frac{3\times 6+7}{6}$$

Add 72 and 28 to get 100.

$$\frac{11}{3}=\frac{3}{11}\times \frac{100}{24}\text{ and }\frac{3}{11}\times \frac{3\times 24+28}{24}=\frac{3\times 6+7}{6}$$

Reduce the fraction \frac{100}{24} to lowest terms by extracting and canceling out 4.

$$\frac{11}{3}=\frac{3}{11}\times \frac{25}{6}\text{ and }\frac{3}{11}\times \frac{3\times 24+28}{24}=\frac{3\times 6+7}{6}$$

Multiply \frac{3}{11} times \frac{25}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11}{3}=\frac{3\times 25}{11\times 6}\text{ and }\frac{3}{11}\times \frac{3\times 24+28}{24}=\frac{3\times 6+7}{6}$$

Do the multiplications in the fraction \frac{3\times 25}{11\times 6}.

$$\frac{11}{3}=\frac{75}{66}\text{ and }\frac{3}{11}\times \frac{3\times 24+28}{24}=\frac{3\times 6+7}{6}$$

Reduce the fraction \frac{75}{66} to lowest terms by extracting and canceling out 3.

$$\frac{11}{3}=\frac{25}{22}\text{ and }\frac{3}{11}\times \frac{3\times 24+28}{24}=\frac{3\times 6+7}{6}$$

Least common multiple of 3 and 22 is 66. Convert \frac{11}{3} and \frac{25}{22} to fractions with denominator 66.

$$\frac{242}{66}=\frac{75}{66}\text{ and }\frac{3}{11}\times \frac{3\times 24+28}{24}=\frac{3\times 6+7}{6}$$

Compare \frac{242}{66} and \frac{75}{66}.

$$\text{false}\text{ and }\frac{3}{11}\times \frac{3\times 24+28}{24}=\frac{3\times 6+7}{6}$$

Multiply 3 and 24 to get 72.

$$\text{false}\text{ and }\frac{3}{11}\times \frac{72+28}{24}=\frac{3\times 6+7}{6}$$

Add 72 and 28 to get 100.

$$\text{false}\text{ and }\frac{3}{11}\times \frac{100}{24}=\frac{3\times 6+7}{6}$$

Reduce the fraction \frac{100}{24} to lowest terms by extracting and canceling out 4.

$$\text{false}\text{ and }\frac{3}{11}\times \frac{25}{6}=\frac{3\times 6+7}{6}$$

Multiply \frac{3}{11} times \frac{25}{6} by multiplying numerator times numerator and denominator times denominator.

$$\text{false}\text{ and }\frac{3\times 25}{11\times 6}=\frac{3\times 6+7}{6}$$

Do the multiplications in the fraction \frac{3\times 25}{11\times 6}.

$$\text{false}\text{ and }\frac{75}{66}=\frac{3\times 6+7}{6}$$

Reduce the fraction \frac{75}{66} to lowest terms by extracting and canceling out 3.

$$\text{false}\text{ and }\frac{25}{22}=\frac{3\times 6+7}{6}$$

Multiply 3 and 6 to get 18.

$$\text{false}\text{ and }\frac{25}{22}=\frac{18+7}{6}$$

Add 18 and 7 to get 25.

$$\text{false}\text{ and }\frac{25}{22}=\frac{25}{6}$$

Least common multiple of 22 and 6 is 66. Convert \frac{25}{22} and \frac{25}{6} to fractions with denominator 66.

$$\text{false}\text{ and }\frac{75}{66}=\frac{275}{66}$$

Compare \frac{75}{66} and \frac{275}{66}.

$$\text{false}\text{ and }\text{false}$$

The conjunction of \text{false} and \text{false} is \text{false}.

$$\text{false}$$