Solve 31/5cm11/100m7/10dm

$$3 \frac { 1 } { 5 } cm \frac { 11 } { 100 } m \frac { 7 } { 10 } dm$$

Evaluate

$$\frac{154cdm^{3}}{625}$$

Solution Steps

Multiply m and m to get m^{2}.

$$\frac{3\times 5+1}{5}cm^{2}\times \frac{11}{100}\times \frac{7}{10}dm$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{3\times 5+1}{5}cm^{3}\times \frac{11}{100}\times \frac{7}{10}d$$

Multiply 3 and 5 to get 15.

$$\frac{15+1}{5}cm^{3}\times \frac{11}{100}\times \frac{7}{10}d$$

Add 15 and 1 to get 16.

$$\frac{16}{5}cm^{3}\times \frac{11}{100}\times \frac{7}{10}d$$

Multiply \frac{16}{5} times \frac{11}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16\times 11}{5\times 100}cm^{3}\times \frac{7}{10}d$$

Do the multiplications in the fraction \frac{16\times 11}{5\times 100}.

$$\frac{176}{500}cm^{3}\times \frac{7}{10}d$$

Reduce the fraction \frac{176}{500} to lowest terms by extracting and canceling out 4.

$$\frac{44}{125}cm^{3}\times \frac{7}{10}d$$

Multiply \frac{44}{125} times \frac{7}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{44\times 7}{125\times 10}cm^{3}d$$

Do the multiplications in the fraction \frac{44\times 7}{125\times 10}.

$$\frac{308}{1250}cm^{3}d$$

Reduce the fraction \frac{308}{1250} to lowest terms by extracting and canceling out 2.

$$\frac{154}{625}cm^{3}d$$

Expand

$$\frac{154cdm^{3}}{625}$$

Solution Steps

Multiply m and m to get m^{2}.

$$\frac{3\times 5+1}{5}cm^{2}\times \frac{11}{100}\times \frac{7}{10}dm$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{3\times 5+1}{5}cm^{3}\times \frac{11}{100}\times \frac{7}{10}d$$

Multiply 3 and 5 to get 15.

$$\frac{15+1}{5}cm^{3}\times \frac{11}{100}\times \frac{7}{10}d$$

Add 15 and 1 to get 16.

$$\frac{16}{5}cm^{3}\times \frac{11}{100}\times \frac{7}{10}d$$

Multiply \frac{16}{5} times \frac{11}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16\times 11}{5\times 100}cm^{3}\times \frac{7}{10}d$$

Do the multiplications in the fraction \frac{16\times 11}{5\times 100}.

$$\frac{176}{500}cm^{3}\times \frac{7}{10}d$$

Reduce the fraction \frac{176}{500} to lowest terms by extracting and canceling out 4.

$$\frac{44}{125}cm^{3}\times \frac{7}{10}d$$

Multiply \frac{44}{125} times \frac{7}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{44\times 7}{125\times 10}cm^{3}d$$

Do the multiplications in the fraction \frac{44\times 7}{125\times 10}.

$$\frac{308}{1250}cm^{3}d$$

Reduce the fraction \frac{308}{1250} to lowest terms by extracting and canceling out 2.

$$\frac{154}{625}cm^{3}d$$