Solve 25+1/516+1/49+1/34+1/2

$$\frac { 25 + 1 } { 5 } \frac { 16 + 1 } { 4 } \frac { 9 + 1 } { 3 } \frac { 4 + 1 } { 2 }$$

Evaluate

$$\frac{1105}{6}\approx 184.166666667$$

Solution Steps

Add 25 and 1 to get 26.

$$\frac{26}{5}\times \frac{16+1}{4}\times \frac{9+1}{3}\times \frac{4+1}{2}$$

Add 16 and 1 to get 17.

$$\frac{26}{5}\times \frac{17}{4}\times \frac{9+1}{3}\times \frac{4+1}{2}$$

Multiply \frac{26}{5} times \frac{17}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{26\times 17}{5\times 4}\times \frac{9+1}{3}\times \frac{4+1}{2}$$

Do the multiplications in the fraction \frac{26\times 17}{5\times 4}.

$$\frac{442}{20}\times \frac{9+1}{3}\times \frac{4+1}{2}$$

Reduce the fraction \frac{442}{20} to lowest terms by extracting and canceling out 2.

$$\frac{221}{10}\times \frac{9+1}{3}\times \frac{4+1}{2}$$

Add 9 and 1 to get 10.

$$\frac{221}{10}\times \frac{10}{3}\times \frac{4+1}{2}$$

Multiply \frac{221}{10} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{221\times 10}{10\times 3}\times \frac{4+1}{2}$$

Cancel out 10 in both numerator and denominator.

$$\frac{221}{3}\times \frac{4+1}{2}$$

Add 4 and 1 to get 5.

$$\frac{221}{3}\times \frac{5}{2}$$

Multiply \frac{221}{3} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{221\times 5}{3\times 2}$$

Do the multiplications in the fraction \frac{221\times 5}{3\times 2}.

$$\frac{1105}{6}$$

Factor

$$\frac{5 \cdot 13 \cdot 17}{2 \cdot 3} = 184\frac{1}{6} = 184.16666666666666$$