Solve 251/2-123/5-101/4=

$$25 \frac { 1 } { 2 } - 12 \frac { 3 } { 5 } - 10 \frac { 1 } { 4 } =$$

Evaluate

$$\frac{53}{20}=2.65$$

Solution Steps

Multiply 25 and 2 to get 50.

$$\frac{50+1}{2}-\frac{12\times 5+3}{5}-\frac{10\times 4+1}{4}$$

Add 50 and 1 to get 51.

$$\frac{51}{2}-\frac{12\times 5+3}{5}-\frac{10\times 4+1}{4}$$

Multiply 12 and 5 to get 60.

$$\frac{51}{2}-\frac{60+3}{5}-\frac{10\times 4+1}{4}$$

Add 60 and 3 to get 63.

$$\frac{51}{2}-\frac{63}{5}-\frac{10\times 4+1}{4}$$

Least common multiple of 2 and 5 is 10. Convert \frac{51}{2} and \frac{63}{5} to fractions with denominator 10.

$$\frac{255}{10}-\frac{126}{10}-\frac{10\times 4+1}{4}$$

Since \frac{255}{10} and \frac{126}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{255-126}{10}-\frac{10\times 4+1}{4}$$

Subtract 126 from 255 to get 129.

$$\frac{129}{10}-\frac{10\times 4+1}{4}$$

Multiply 10 and 4 to get 40.

$$\frac{129}{10}-\frac{40+1}{4}$$

Add 40 and 1 to get 41.

$$\frac{129}{10}-\frac{41}{4}$$

Least common multiple of 10 and 4 is 20. Convert \frac{129}{10} and \frac{41}{4} to fractions with denominator 20.

$$\frac{258}{20}-\frac{205}{20}$$

Since \frac{258}{20} and \frac{205}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{258-205}{20}$$

Subtract 205 from 258 to get 53.

$$\frac{53}{20}$$

Factor

$$\frac{53}{2 ^ {2} \cdot 5} = 2\frac{13}{20} = 2.65$$