Solve 95/3.6*10+quad-75/3.6*10=60

$$\frac { 95 } { 3.6 } \times 10 + \quad - \frac { 75 } { 3.6 } \times 10 = 60$$

Verify

Solution Steps

Expand \frac{95}{3.6} by multiplying both numerator and the denominator by 10.

$$\frac{950}{36}\times 10+\left(-\frac{75}{3.6}\right)\times 10=60$$

Reduce the fraction \frac{950}{36} to lowest terms by extracting and canceling out 2.

$$\frac{475}{18}\times 10+\left(-\frac{75}{3.6}\right)\times 10=60$$

Express \frac{475}{18}\times 10 as a single fraction.

$$\frac{475\times 10}{18}+\left(-\frac{75}{3.6}\right)\times 10=60$$

Multiply 475 and 10 to get 4750.

$$\frac{4750}{18}+\left(-\frac{75}{3.6}\right)\times 10=60$$

Reduce the fraction \frac{4750}{18} to lowest terms by extracting and canceling out 2.

$$\frac{2375}{9}+\left(-\frac{75}{3.6}\right)\times 10=60$$

Expand \frac{75}{3.6} by multiplying both numerator and the denominator by 10.

$$\frac{2375}{9}+\left(-\frac{750}{36}\right)\times 10=60$$

Reduce the fraction \frac{750}{36} to lowest terms by extracting and canceling out 6.

$$\frac{2375}{9}-\frac{125}{6}\times 10=60$$

Express -\frac{125}{6}\times 10 as a single fraction.

$$\frac{2375}{9}+\frac{-125\times 10}{6}=60$$

Multiply -125 and 10 to get -1250.

$$\frac{2375}{9}+\frac{-1250}{6}=60$$

Reduce the fraction \frac{-1250}{6} to lowest terms by extracting and canceling out 2.

$$\frac{2375}{9}-\frac{625}{3}=60$$

Least common multiple of 9 and 3 is 9. Convert \frac{2375}{9} and \frac{625}{3} to fractions with denominator 9.

$$\frac{2375}{9}-\frac{1875}{9}=60$$

Since \frac{2375}{9} and \frac{1875}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2375-1875}{9}=60$$

Subtract 1875 from 2375 to get 500.

$$\frac{500}{9}=60$$

Convert 60 to fraction \frac{540}{9}.

$$\frac{500}{9}=\frac{540}{9}$$

Compare \frac{500}{9} and \frac{540}{9}.

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