Solve 63/11/1frac{5{7}1.48}2.96div21/11*6/7

$$\frac{ 6 \frac{ 3 }{ 11 } }{ 1 \frac{ 5 }{ 7 } 1.48 } 2.96 \div 2 \frac{ 1 }{ 11 } \times \frac{ 6 }{ 7 }$$

Evaluate

$$3$$

Solution Steps

Multiply 6 and 11 to get 66.

$$\frac{\frac{\frac{66+3}{11}}{\frac{1\times 7+5}{7}\times 1.48}\times 2.96}{\frac{2\times 11+1}{11}}\times \frac{6}{7}$$

Add 66 and 3 to get 69.

$$\frac{\frac{\frac{69}{11}}{\frac{1\times 7+5}{7}\times 1.48}\times 2.96}{\frac{2\times 11+1}{11}}\times \frac{6}{7}$$

Multiply 1 and 7 to get 7.

$$\frac{\frac{\frac{69}{11}}{\frac{7+5}{7}\times 1.48}\times 2.96}{\frac{2\times 11+1}{11}}\times \frac{6}{7}$$

Add 7 and 5 to get 12.

$$\frac{\frac{\frac{69}{11}}{\frac{12}{7}\times 1.48}\times 2.96}{\frac{2\times 11+1}{11}}\times \frac{6}{7}$$

Convert decimal number 1.48 to fraction \frac{148}{100}. Reduce the fraction \frac{148}{100} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{\frac{69}{11}}{\frac{12}{7}\times \frac{37}{25}}\times 2.96}{\frac{2\times 11+1}{11}}\times \frac{6}{7}$$

Multiply \frac{12}{7} times \frac{37}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{\frac{69}{11}}{\frac{12\times 37}{7\times 25}}\times 2.96}{\frac{2\times 11+1}{11}}\times \frac{6}{7}$$

Do the multiplications in the fraction \frac{12\times 37}{7\times 25}.

$$\frac{\frac{\frac{69}{11}}{\frac{444}{175}}\times 2.96}{\frac{2\times 11+1}{11}}\times \frac{6}{7}$$

Divide \frac{69}{11} by \frac{444}{175} by multiplying \frac{69}{11} by the reciprocal of \frac{444}{175}.

$$\frac{\frac{69}{11}\times \frac{175}{444}\times 2.96}{\frac{2\times 11+1}{11}}\times \frac{6}{7}$$

Multiply \frac{69}{11} times \frac{175}{444} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{69\times 175}{11\times 444}\times 2.96}{\frac{2\times 11+1}{11}}\times \frac{6}{7}$$

Do the multiplications in the fraction \frac{69\times 175}{11\times 444}.

$$\frac{\frac{12075}{4884}\times 2.96}{\frac{2\times 11+1}{11}}\times \frac{6}{7}$$

Reduce the fraction \frac{12075}{4884} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{4025}{1628}\times 2.96}{\frac{2\times 11+1}{11}}\times \frac{6}{7}$$

Convert decimal number 2.96 to fraction \frac{296}{100}. Reduce the fraction \frac{296}{100} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{4025}{1628}\times \frac{74}{25}}{\frac{2\times 11+1}{11}}\times \frac{6}{7}$$

Multiply \frac{4025}{1628} times \frac{74}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{4025\times 74}{1628\times 25}}{\frac{2\times 11+1}{11}}\times \frac{6}{7}$$

Do the multiplications in the fraction \frac{4025\times 74}{1628\times 25}.

$$\frac{\frac{297850}{40700}}{\frac{2\times 11+1}{11}}\times \frac{6}{7}$$

Reduce the fraction \frac{297850}{40700} to lowest terms by extracting and canceling out 1850.

$$\frac{\frac{161}{22}}{\frac{2\times 11+1}{11}}\times \frac{6}{7}$$

Multiply 2 and 11 to get 22.

$$\frac{\frac{161}{22}}{\frac{22+1}{11}}\times \frac{6}{7}$$

Add 22 and 1 to get 23.

$$\frac{\frac{161}{22}}{\frac{23}{11}}\times \frac{6}{7}$$

Divide \frac{161}{22} by \frac{23}{11} by multiplying \frac{161}{22} by the reciprocal of \frac{23}{11}.

$$\frac{161}{22}\times \frac{11}{23}\times \frac{6}{7}$$

Multiply \frac{161}{22} times \frac{11}{23} by multiplying numerator times numerator and denominator times denominator.

$$\frac{161\times 11}{22\times 23}\times \frac{6}{7}$$

Do the multiplications in the fraction \frac{161\times 11}{22\times 23}.

$$\frac{1771}{506}\times \frac{6}{7}$$

Reduce the fraction \frac{1771}{506} to lowest terms by extracting and canceling out 253.

$$\frac{7}{2}\times \frac{6}{7}$$

Multiply \frac{7}{2} times \frac{6}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 6}{2\times 7}$$

Cancel out 7 in both numerator and denominator.

$$\frac{6}{2}$$

Divide 6 by 2 to get 3.

$$3$$

Factor

$$3$$