Solve (124/5-43/10)div2=4

$$( 12 \frac { 4 } { 5 } - 4 \frac { 3 } { 10 } ) \div 2 = 4$$

Verify

Solution Steps

Multiply both sides of the equation by 2.

$$\frac{12\times 5+4}{5}-\frac{4\times 10+3}{10}=8$$

Multiply 12 and 5 to get 60.

$$\frac{60+4}{5}-\frac{4\times 10+3}{10}=8$$

Add 60 and 4 to get 64.

$$\frac{64}{5}-\frac{4\times 10+3}{10}=8$$

Multiply 4 and 10 to get 40.

$$\frac{64}{5}-\frac{40+3}{10}=8$$

Add 40 and 3 to get 43.

$$\frac{64}{5}-\frac{43}{10}=8$$

Least common multiple of 5 and 10 is 10. Convert \frac{64}{5} and \frac{43}{10} to fractions with denominator 10.

$$\frac{128}{10}-\frac{43}{10}=8$$

Since \frac{128}{10} and \frac{43}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{128-43}{10}=8$$

Subtract 43 from 128 to get 85.

$$\frac{85}{10}=8$$

Reduce the fraction \frac{85}{10} to lowest terms by extracting and canceling out 5.

$$\frac{17}{2}=8$$

Convert 8 to fraction \frac{16}{2}.

$$\frac{17}{2}=\frac{16}{2}$$

Compare \frac{17}{2} and \frac{16}{2}.

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