Solve 5.8div139/210=

$$5.8 \div \frac{ 139 }{ 210 } =$$

Evaluate

$$\frac{1218}{139}\approx 8.762589928$$

Solution Steps

Divide 5.8 by \frac{139}{210} by multiplying 5.8 by the reciprocal of \frac{139}{210}.

$$5.8\times \frac{210}{139}$$

Convert decimal number 5.8 to fraction \frac{58}{10}. Reduce the fraction \frac{58}{10} to lowest terms by extracting and canceling out 2.

$$\frac{29}{5}\times \frac{210}{139}$$

Multiply \frac{29}{5} times \frac{210}{139} by multiplying numerator times numerator and denominator times denominator.

$$\frac{29\times 210}{5\times 139}$$

Do the multiplications in the fraction \frac{29\times 210}{5\times 139}.

$$\frac{6090}{695}$$

Reduce the fraction \frac{6090}{695} to lowest terms by extracting and canceling out 5.

$$\frac{1218}{139}$$

Factor

$$\frac{2 \cdot 3 \cdot 7 \cdot 29}{139} = 8\frac{106}{139} = 8.762589928057555$$