Solve 6.3*53/5div15/4=

$$6.3 \times 5 \frac { 3 } { 5 } \div \frac { 15 } { 4 } =$$

Evaluate

$$9.408$$

Solution Steps

Multiply 5 and 5 to get 25.

$$\frac{6.3\times \frac{25+3}{5}}{\frac{15}{4}}$$

Add 25 and 3 to get 28.

$$\frac{6.3\times \frac{28}{5}}{\frac{15}{4}}$$

Convert decimal number 6.3 to fraction \frac{63}{10}.

$$\frac{\frac{63}{10}\times \frac{28}{5}}{\frac{15}{4}}$$

Multiply \frac{63}{10} times \frac{28}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{63\times 28}{10\times 5}}{\frac{15}{4}}$$

Do the multiplications in the fraction \frac{63\times 28}{10\times 5}.

$$\frac{\frac{1764}{50}}{\frac{15}{4}}$$

Reduce the fraction \frac{1764}{50} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{882}{25}}{\frac{15}{4}}$$

Divide \frac{882}{25} by \frac{15}{4} by multiplying \frac{882}{25} by the reciprocal of \frac{15}{4}.

$$\frac{882}{25}\times \frac{4}{15}$$

Multiply \frac{882}{25} times \frac{4}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{882\times 4}{25\times 15}$$

Do the multiplications in the fraction \frac{882\times 4}{25\times 15}.

$$\frac{3528}{375}$$

Reduce the fraction \frac{3528}{375} to lowest terms by extracting and canceling out 3.

$$\frac{1176}{125}$$

Factor

$$\frac{3 \cdot 2 ^ {3} \cdot 7 ^ {2}}{5 ^ {3}} = 9\frac{51}{125} = 9.408$$