Solve 45/8(1,5m+2)-0,25m-8

$$4 \frac { 5 } { 8 } ( 1,5 m + 2 ) - 0,25 m - 8$$

Evaluate

$$\frac{107m}{16}+1,25$$

Solution Steps

Multiply 4 and 8 to get 32.

$$\frac{32+5}{8}\left(1,5m+2\right)-0,25m-8$$

Add 32 and 5 to get 37.

$$\frac{37}{8}\left(1,5m+2\right)-0,25m-8$$

Use the distributive property to multiply \frac{37}{8} by 1,5m+2.

$$\frac{37}{8}\times 1,5m+\frac{37}{8}\times 2-0,25m-8$$

Convert decimal number 1,5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$\frac{37}{8}\times \frac{3}{2}m+\frac{37}{8}\times 2-0,25m-8$$

Multiply \frac{37}{8} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{37\times 3}{8\times 2}m+\frac{37}{8}\times 2-0,25m-8$$

Do the multiplications in the fraction \frac{37\times 3}{8\times 2}.

$$\frac{111}{16}m+\frac{37}{8}\times 2-0,25m-8$$

Express \frac{37}{8}\times 2 as a single fraction.

$$\frac{111}{16}m+\frac{37\times 2}{8}-0,25m-8$$

Multiply 37 and 2 to get 74.

$$\frac{111}{16}m+\frac{74}{8}-0,25m-8$$

Reduce the fraction \frac{74}{8} to lowest terms by extracting and canceling out 2.

$$\frac{111}{16}m+\frac{37}{4}-0,25m-8$$

Combine \frac{111}{16}m and -0,25m to get \frac{107}{16}m.

$$\frac{107}{16}m+\frac{37}{4}-8$$

Convert 8 to fraction \frac{32}{4}.

$$\frac{107}{16}m+\frac{37}{4}-\frac{32}{4}$$

Since \frac{37}{4} and \frac{32}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{107}{16}m+\frac{37-32}{4}$$

Subtract 32 from 37 to get 5.

$$\frac{107}{16}m+\frac{5}{4}$$

Expand

$$\frac{107m}{16}+1,25$$

Solution Steps

Multiply 4 and 8 to get 32.

$$\frac{32+5}{8}\left(1,5m+2\right)-0,25m-8$$

Add 32 and 5 to get 37.

$$\frac{37}{8}\left(1,5m+2\right)-0,25m-8$$

Use the distributive property to multiply \frac{37}{8} by 1,5m+2.

$$\frac{37}{8}\times 1,5m+\frac{37}{8}\times 2-0,25m-8$$

Convert decimal number 1,5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$\frac{37}{8}\times \frac{3}{2}m+\frac{37}{8}\times 2-0,25m-8$$

Multiply \frac{37}{8} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{37\times 3}{8\times 2}m+\frac{37}{8}\times 2-0,25m-8$$

Do the multiplications in the fraction \frac{37\times 3}{8\times 2}.

$$\frac{111}{16}m+\frac{37}{8}\times 2-0,25m-8$$

Express \frac{37}{8}\times 2 as a single fraction.

$$\frac{111}{16}m+\frac{37\times 2}{8}-0,25m-8$$

Multiply 37 and 2 to get 74.

$$\frac{111}{16}m+\frac{74}{8}-0,25m-8$$

Reduce the fraction \frac{74}{8} to lowest terms by extracting and canceling out 2.

$$\frac{111}{16}m+\frac{37}{4}-0,25m-8$$

Combine \frac{111}{16}m and -0,25m to get \frac{107}{16}m.

$$\frac{107}{16}m+\frac{37}{4}-8$$

Convert 8 to fraction \frac{32}{4}.

$$\frac{107}{16}m+\frac{37}{4}-\frac{32}{4}$$

Since \frac{37}{4} and \frac{32}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{107}{16}m+\frac{37-32}{4}$$

Subtract 32 from 37 to get 5.

$$\frac{107}{16}m+\frac{5}{4}$$