Solve 4.6div48/245

$$4.6 \div \frac{ 48 }{ 245 }$$

Evaluate

$$\frac{1127}{48}\approx 23.479166667$$

Solution Steps

Divide 4.6 by \frac{48}{245} by multiplying 4.6 by the reciprocal of \frac{48}{245}.

$$4.6\times \frac{245}{48}$$

Convert decimal number 4.6 to fraction \frac{46}{10}. Reduce the fraction \frac{46}{10} to lowest terms by extracting and canceling out 2.

$$\frac{23}{5}\times \frac{245}{48}$$

Multiply \frac{23}{5} times \frac{245}{48} by multiplying numerator times numerator and denominator times denominator.

$$\frac{23\times 245}{5\times 48}$$

Do the multiplications in the fraction \frac{23\times 245}{5\times 48}.

$$\frac{5635}{240}$$

Reduce the fraction \frac{5635}{240} to lowest terms by extracting and canceling out 5.

$$\frac{1127}{48}$$

Factor

$$\frac{23 \cdot 7 ^ {2}}{3 \cdot 2 ^ {4}} = 23\frac{23}{48} = 23.479166666666668$$