Solve [(9-4)div5+(10-2)div4]+9*6div8+4=

$$[ ( 9 - 4 ) \div 5 + ( 10 - 2 ) \div 4 ] + 9 \times 6 \div 8 + 4 =$$

Evaluate

$$\frac{55}{4}=13.75$$

Solution Steps

Subtract 4 from 9 to get 5.

$$\frac{5}{5}+\frac{10-2}{4}+\frac{9\times 6}{8}+4$$

Divide 5 by 5 to get 1.

$$1+\frac{10-2}{4}+\frac{9\times 6}{8}+4$$

Subtract 2 from 10 to get 8.

$$1+\frac{8}{4}+\frac{9\times 6}{8}+4$$

Divide 8 by 4 to get 2.

$$1+2+\frac{9\times 6}{8}+4$$

Add 1 and 2 to get 3.

$$3+\frac{9\times 6}{8}+4$$

Multiply 9 and 6 to get 54.

$$3+\frac{54}{8}+4$$

Reduce the fraction \frac{54}{8} to lowest terms by extracting and canceling out 2.

$$3+\frac{27}{4}+4$$

Convert 3 to fraction \frac{12}{4}.

$$\frac{12}{4}+\frac{27}{4}+4$$

Since \frac{12}{4} and \frac{27}{4} have the same denominator, add them by adding their numerators.

$$\frac{12+27}{4}+4$$

Add 12 and 27 to get 39.

$$\frac{39}{4}+4$$

Convert 4 to fraction \frac{16}{4}.

$$\frac{39}{4}+\frac{16}{4}$$

Since \frac{39}{4} and \frac{16}{4} have the same denominator, add them by adding their numerators.

$$\frac{39+16}{4}$$

Add 39 and 16 to get 55.

$$\frac{55}{4}$$

Factor

$$\frac{5 \cdot 11}{2 ^ {2}} = 13\frac{3}{4} = 13.75$$