Solve 2+9+2x5/16*98/2

$$2 + 9 + 2 \frac { x 5 } { 16 } \times \frac { 98 } { 2 }$$

Evaluate

$$\frac{49x_{5}}{8}+11$$

Short Solution Steps

Add 2 and 9 to get 11.

$$11+2\times \frac{x_{5}}{16}\times \frac{98}{2}$$

Divide 98 by 2 to get 49.

$$11+2\times \frac{x_{5}}{16}\times 49$$

Multiply 2 and 49 to get 98.

$$11+98\times \frac{x_{5}}{16}$$

Express 98\times \frac{x_{5}}{16} as a single fraction.

$$11+\frac{98x_{5}}{16}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 11 times \frac{16}{16}.

$$\frac{11\times 16}{16}+\frac{98x_{5}}{16}$$

Since \frac{11\times 16}{16} and \frac{98x_{5}}{16} have the same denominator, add them by adding their numerators.

$$\frac{11\times 16+98x_{5}}{16}$$

Do the multiplications in 11\times 16+98x_{5}.

$$\frac{176+98x_{5}}{16}$$

Factor

$$\frac{49x_{5}+88}{8}$$

Solution Steps

Factor out \frac{1}{8}.

$$\frac{88+49x_{5}}{8}$$

Consider 16+72+49x_{5}. Multiply and combine like terms.

$$49x_{5}+88$$

Rewrite the complete factored expression.

$$\frac{49x_{5}+88}{8}$$