Solve =22/7*1.4*1.4*2.2+4/3*22/7*1.4*1.4*1.4

$$= \frac { 22 } { 7 } \times 1.4 \times 1.4 \times 2.2 + \frac { 4 } { 3 } \times \frac { 22 } { 7 } \times 1.4 \times 1.4 \times 1.4$$

Evaluate

$$\frac{9394}{375}\approx 25.050666667$$

Solution Steps

Convert decimal number 1.4 to fraction \frac{14}{10}. Reduce the fraction \frac{14}{10} to lowest terms by extracting and canceling out 2.

$$\frac{22}{7}\times \frac{7}{5}\times 1.4\times 2.2+\frac{4}{3}\times \frac{22}{7}\times 1.4\times 1.4\times 1.4$$

Multiply \frac{22}{7} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{22\times 7}{7\times 5}\times 1.4\times 2.2+\frac{4}{3}\times \frac{22}{7}\times 1.4\times 1.4\times 1.4$$

Cancel out 7 in both numerator and denominator.

$$\frac{22}{5}\times 1.4\times 2.2+\frac{4}{3}\times \frac{22}{7}\times 1.4\times 1.4\times 1.4$$

Convert decimal number 1.4 to fraction \frac{14}{10}. Reduce the fraction \frac{14}{10} to lowest terms by extracting and canceling out 2.

$$\frac{22}{5}\times \frac{7}{5}\times 2.2+\frac{4}{3}\times \frac{22}{7}\times 1.4\times 1.4\times 1.4$$

Multiply \frac{22}{5} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{22\times 7}{5\times 5}\times 2.2+\frac{4}{3}\times \frac{22}{7}\times 1.4\times 1.4\times 1.4$$

Do the multiplications in the fraction \frac{22\times 7}{5\times 5}.

$$\frac{154}{25}\times 2.2+\frac{4}{3}\times \frac{22}{7}\times 1.4\times 1.4\times 1.4$$

Convert decimal number 2.2 to fraction \frac{22}{10}. Reduce the fraction \frac{22}{10} to lowest terms by extracting and canceling out 2.

$$\frac{154}{25}\times \frac{11}{5}+\frac{4}{3}\times \frac{22}{7}\times 1.4\times 1.4\times 1.4$$

Multiply \frac{154}{25} times \frac{11}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{154\times 11}{25\times 5}+\frac{4}{3}\times \frac{22}{7}\times 1.4\times 1.4\times 1.4$$

Do the multiplications in the fraction \frac{154\times 11}{25\times 5}.

$$\frac{1694}{125}+\frac{4}{3}\times \frac{22}{7}\times 1.4\times 1.4\times 1.4$$

Multiply \frac{4}{3} times \frac{22}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1694}{125}+\frac{4\times 22}{3\times 7}\times 1.4\times 1.4\times 1.4$$

Do the multiplications in the fraction \frac{4\times 22}{3\times 7}.

$$\frac{1694}{125}+\frac{88}{21}\times 1.4\times 1.4\times 1.4$$

Convert decimal number 1.4 to fraction \frac{14}{10}. Reduce the fraction \frac{14}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1694}{125}+\frac{88}{21}\times \frac{7}{5}\times 1.4\times 1.4$$

Multiply \frac{88}{21} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1694}{125}+\frac{88\times 7}{21\times 5}\times 1.4\times 1.4$$

Do the multiplications in the fraction \frac{88\times 7}{21\times 5}.

$$\frac{1694}{125}+\frac{616}{105}\times 1.4\times 1.4$$

Reduce the fraction \frac{616}{105} to lowest terms by extracting and canceling out 7.

$$\frac{1694}{125}+\frac{88}{15}\times 1.4\times 1.4$$

Convert decimal number 1.4 to fraction \frac{14}{10}. Reduce the fraction \frac{14}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1694}{125}+\frac{88}{15}\times \frac{7}{5}\times 1.4$$

Multiply \frac{88}{15} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1694}{125}+\frac{88\times 7}{15\times 5}\times 1.4$$

Do the multiplications in the fraction \frac{88\times 7}{15\times 5}.

$$\frac{1694}{125}+\frac{616}{75}\times 1.4$$

Convert decimal number 1.4 to fraction \frac{14}{10}. Reduce the fraction \frac{14}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1694}{125}+\frac{616}{75}\times \frac{7}{5}$$

Multiply \frac{616}{75} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1694}{125}+\frac{616\times 7}{75\times 5}$$

Do the multiplications in the fraction \frac{616\times 7}{75\times 5}.

$$\frac{1694}{125}+\frac{4312}{375}$$

Least common multiple of 125 and 375 is 375. Convert \frac{1694}{125} and \frac{4312}{375} to fractions with denominator 375.

$$\frac{5082}{375}+\frac{4312}{375}$$

Since \frac{5082}{375} and \frac{4312}{375} have the same denominator, add them by adding their numerators.

$$\frac{5082+4312}{375}$$

Add 5082 and 4312 to get 9394.

$$\frac{9394}{375}$$

Factor

$$\frac{2 \cdot 7 \cdot 11 \cdot 61}{3 \cdot 5 ^ {3}} = 25\frac{19}{375} = 25.050666666666668$$