Solve 14/1*13/6*13/24*1/26*frac{12}{16}*2frac{4}{7}=

$$\frac { 14 } { 1 } \cdot 1 \frac { 3 } { 6 } \cdot \frac { 13 } { 24 } \cdot \frac { 1 } { 26 } \cdot \frac { 12 } { 16 } \cdot 2 \frac { 4 } { 7 } =$$

Evaluate

$$\frac{27}{32}=0.84375$$

Solution Steps

Anything divided by one gives itself.

$$14\times \frac{1\times 6+3}{6}\times \frac{13}{24}\times \frac{1}{26}\times \frac{12}{16}\times \frac{2\times 7+4}{7}$$

Multiply 1 and 6 to get 6.

$$14\times \frac{6+3}{6}\times \frac{13}{24}\times \frac{1}{26}\times \frac{12}{16}\times \frac{2\times 7+4}{7}$$

Add 6 and 3 to get 9.

$$14\times \frac{9}{6}\times \frac{13}{24}\times \frac{1}{26}\times \frac{12}{16}\times \frac{2\times 7+4}{7}$$

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

$$14\times \frac{3}{2}\times \frac{13}{24}\times \frac{1}{26}\times \frac{12}{16}\times \frac{2\times 7+4}{7}$$

Express 14\times \frac{3}{2} as a single fraction.

$$\frac{14\times 3}{2}\times \frac{13}{24}\times \frac{1}{26}\times \frac{12}{16}\times \frac{2\times 7+4}{7}$$

Multiply 14 and 3 to get 42.

$$\frac{42}{2}\times \frac{13}{24}\times \frac{1}{26}\times \frac{12}{16}\times \frac{2\times 7+4}{7}$$

Divide 42 by 2 to get 21.

$$21\times \frac{13}{24}\times \frac{1}{26}\times \frac{12}{16}\times \frac{2\times 7+4}{7}$$

Express 21\times \frac{13}{24} as a single fraction.

$$\frac{21\times 13}{24}\times \frac{1}{26}\times \frac{12}{16}\times \frac{2\times 7+4}{7}$$

Multiply 21 and 13 to get 273.

$$\frac{273}{24}\times \frac{1}{26}\times \frac{12}{16}\times \frac{2\times 7+4}{7}$$

Reduce the fraction \frac{273}{24} to lowest terms by extracting and canceling out 3.

$$\frac{91}{8}\times \frac{1}{26}\times \frac{12}{16}\times \frac{2\times 7+4}{7}$$

Multiply \frac{91}{8} times \frac{1}{26} by multiplying numerator times numerator and denominator times denominator.

$$\frac{91\times 1}{8\times 26}\times \frac{12}{16}\times \frac{2\times 7+4}{7}$$

Do the multiplications in the fraction \frac{91\times 1}{8\times 26}.

$$\frac{91}{208}\times \frac{12}{16}\times \frac{2\times 7+4}{7}$$

Reduce the fraction \frac{91}{208} to lowest terms by extracting and canceling out 13.

$$\frac{7}{16}\times \frac{12}{16}\times \frac{2\times 7+4}{7}$$

Reduce the fraction \frac{12}{16} to lowest terms by extracting and canceling out 4.

$$\frac{7}{16}\times \frac{3}{4}\times \frac{2\times 7+4}{7}$$

Multiply \frac{7}{16} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 3}{16\times 4}\times \frac{2\times 7+4}{7}$$

Do the multiplications in the fraction \frac{7\times 3}{16\times 4}.

$$\frac{21}{64}\times \frac{2\times 7+4}{7}$$

Multiply 2 and 7 to get 14.

$$\frac{21}{64}\times \frac{14+4}{7}$$

Add 14 and 4 to get 18.

$$\frac{21}{64}\times \frac{18}{7}$$

Multiply \frac{21}{64} times \frac{18}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{21\times 18}{64\times 7}$$

Do the multiplications in the fraction \frac{21\times 18}{64\times 7}.

$$\frac{378}{448}$$

Reduce the fraction \frac{378}{448} to lowest terms by extracting and canceling out 14.

$$\frac{27}{32}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {5}} = 0.84375$$