Solve 76/7+83/7(-2m+4)-0,5m

$$7 \frac { 6 } { 7 } + 8 \frac { 3 } { 7 } ( - 2 m + 4 ) - 0,5 m$$

Evaluate

$$-\frac{243m}{14}+\frac{291}{7}$$

Solution Steps

Multiply 7 and 7 to get 49.

$$\frac{49+6}{7}+\frac{8\times 7+3}{7}\left(-2m+4\right)-0,5m$$

Add 49 and 6 to get 55.

$$\frac{55}{7}+\frac{8\times 7+3}{7}\left(-2m+4\right)-0,5m$$

Multiply 8 and 7 to get 56.

$$\frac{55}{7}+\frac{56+3}{7}\left(-2m+4\right)-0,5m$$

Add 56 and 3 to get 59.

$$\frac{55}{7}+\frac{59}{7}\left(-2m+4\right)-0,5m$$

Use the distributive property to multiply \frac{59}{7} by -2m+4.

$$\frac{55}{7}+\frac{59}{7}\left(-2\right)m+\frac{59}{7}\times 4-0,5m$$

Express \frac{59}{7}\left(-2\right) as a single fraction.

$$\frac{55}{7}+\frac{59\left(-2\right)}{7}m+\frac{59}{7}\times 4-0,5m$$

Multiply 59 and -2 to get -118.

$$\frac{55}{7}+\frac{-118}{7}m+\frac{59}{7}\times 4-0,5m$$

Fraction \frac{-118}{7} can be rewritten as -\frac{118}{7} by extracting the negative sign.

$$\frac{55}{7}-\frac{118}{7}m+\frac{59}{7}\times 4-0,5m$$

Express \frac{59}{7}\times 4 as a single fraction.

$$\frac{55}{7}-\frac{118}{7}m+\frac{59\times 4}{7}-0,5m$$

Multiply 59 and 4 to get 236.

$$\frac{55}{7}-\frac{118}{7}m+\frac{236}{7}-0,5m$$

Since \frac{55}{7} and \frac{236}{7} have the same denominator, add them by adding their numerators.

$$\frac{55+236}{7}-\frac{118}{7}m-0,5m$$

Add 55 and 236 to get 291.

$$\frac{291}{7}-\frac{118}{7}m-0,5m$$

Combine -\frac{118}{7}m and -0,5m to get -\frac{243}{14}m.

$$\frac{291}{7}-\frac{243}{14}m$$

Expand

$$-\frac{243m}{14}+\frac{291}{7}$$

Solution Steps

Multiply 7 and 7 to get 49.

$$\frac{49+6}{7}+\frac{8\times 7+3}{7}\left(-2m+4\right)-0,5m$$

Add 49 and 6 to get 55.

$$\frac{55}{7}+\frac{8\times 7+3}{7}\left(-2m+4\right)-0,5m$$

Multiply 8 and 7 to get 56.

$$\frac{55}{7}+\frac{56+3}{7}\left(-2m+4\right)-0,5m$$

Add 56 and 3 to get 59.

$$\frac{55}{7}+\frac{59}{7}\left(-2m+4\right)-0,5m$$

Use the distributive property to multiply \frac{59}{7} by -2m+4.

$$\frac{55}{7}+\frac{59}{7}\left(-2\right)m+\frac{59}{7}\times 4-0,5m$$

Express \frac{59}{7}\left(-2\right) as a single fraction.

$$\frac{55}{7}+\frac{59\left(-2\right)}{7}m+\frac{59}{7}\times 4-0,5m$$

Multiply 59 and -2 to get -118.

$$\frac{55}{7}+\frac{-118}{7}m+\frac{59}{7}\times 4-0,5m$$

Fraction \frac{-118}{7} can be rewritten as -\frac{118}{7} by extracting the negative sign.

$$\frac{55}{7}-\frac{118}{7}m+\frac{59}{7}\times 4-0,5m$$

Express \frac{59}{7}\times 4 as a single fraction.

$$\frac{55}{7}-\frac{118}{7}m+\frac{59\times 4}{7}-0,5m$$

Multiply 59 and 4 to get 236.

$$\frac{55}{7}-\frac{118}{7}m+\frac{236}{7}-0,5m$$

Since \frac{55}{7} and \frac{236}{7} have the same denominator, add them by adding their numerators.

$$\frac{55+236}{7}-\frac{118}{7}m-0,5m$$

Add 55 and 236 to get 291.

$$\frac{291}{7}-\frac{118}{7}m-0,5m$$

Combine -\frac{118}{7}m and -0,5m to get -\frac{243}{14}m.

$$\frac{291}{7}-\frac{243}{14}m$$