Solve 25+1/6^2-10/9/5-frac{1{4}}*a

$$\frac { 25 + \frac { 1 } { 6 ^ { 2 } } - \frac { 10 } { 9 } } { 5 - \frac { 1 } { 4 } } \cdot a$$

Evaluate

$$\frac{287a}{57}$$

Solution Steps

Calculate 6 to the power of 2 and get 36.

$$\frac{25+\frac{1}{36}-\frac{10}{9}}{5-\frac{1}{4}}a$$

Convert 25 to fraction \frac{900}{36}.

$$\frac{\frac{900}{36}+\frac{1}{36}-\frac{10}{9}}{5-\frac{1}{4}}a$$

Since \frac{900}{36} and \frac{1}{36} have the same denominator, add them by adding their numerators.

$$\frac{\frac{900+1}{36}-\frac{10}{9}}{5-\frac{1}{4}}a$$

Add 900 and 1 to get 901.

$$\frac{\frac{901}{36}-\frac{10}{9}}{5-\frac{1}{4}}a$$

Least common multiple of 36 and 9 is 36. Convert \frac{901}{36} and \frac{10}{9} to fractions with denominator 36.

$$\frac{\frac{901}{36}-\frac{40}{36}}{5-\frac{1}{4}}a$$

Since \frac{901}{36} and \frac{40}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{901-40}{36}}{5-\frac{1}{4}}a$$

Subtract 40 from 901 to get 861.

$$\frac{\frac{861}{36}}{5-\frac{1}{4}}a$$

Reduce the fraction \frac{861}{36} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{287}{12}}{5-\frac{1}{4}}a$$

Convert 5 to fraction \frac{20}{4}.

$$\frac{\frac{287}{12}}{\frac{20}{4}-\frac{1}{4}}a$$

Since \frac{20}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{287}{12}}{\frac{20-1}{4}}a$$

Subtract 1 from 20 to get 19.

$$\frac{\frac{287}{12}}{\frac{19}{4}}a$$

Divide \frac{287}{12} by \frac{19}{4} by multiplying \frac{287}{12} by the reciprocal of \frac{19}{4}.

$$\frac{287}{12}\times \frac{4}{19}a$$

Multiply \frac{287}{12} times \frac{4}{19} by multiplying numerator times numerator and denominator times denominator.

$$\frac{287\times 4}{12\times 19}a$$

Do the multiplications in the fraction \frac{287\times 4}{12\times 19}.

$$\frac{1148}{228}a$$

Reduce the fraction \frac{1148}{228} to lowest terms by extracting and canceling out 4.

$$\frac{287}{57}a$$

Expand

$$\frac{287a}{57}$$

Solution Steps

Calculate 6 to the power of 2 and get 36.

$$\frac{25+\frac{1}{36}-\frac{10}{9}}{5-\frac{1}{4}}a$$

Convert 25 to fraction \frac{900}{36}.

$$\frac{\frac{900}{36}+\frac{1}{36}-\frac{10}{9}}{5-\frac{1}{4}}a$$

Since \frac{900}{36} and \frac{1}{36} have the same denominator, add them by adding their numerators.

$$\frac{\frac{900+1}{36}-\frac{10}{9}}{5-\frac{1}{4}}a$$

Add 900 and 1 to get 901.

$$\frac{\frac{901}{36}-\frac{10}{9}}{5-\frac{1}{4}}a$$

Least common multiple of 36 and 9 is 36. Convert \frac{901}{36} and \frac{10}{9} to fractions with denominator 36.

$$\frac{\frac{901}{36}-\frac{40}{36}}{5-\frac{1}{4}}a$$

Since \frac{901}{36} and \frac{40}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{901-40}{36}}{5-\frac{1}{4}}a$$

Subtract 40 from 901 to get 861.

$$\frac{\frac{861}{36}}{5-\frac{1}{4}}a$$

Reduce the fraction \frac{861}{36} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{287}{12}}{5-\frac{1}{4}}a$$

Convert 5 to fraction \frac{20}{4}.

$$\frac{\frac{287}{12}}{\frac{20}{4}-\frac{1}{4}}a$$

Since \frac{20}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{287}{12}}{\frac{20-1}{4}}a$$

Subtract 1 from 20 to get 19.

$$\frac{\frac{287}{12}}{\frac{19}{4}}a$$

Divide \frac{287}{12} by \frac{19}{4} by multiplying \frac{287}{12} by the reciprocal of \frac{19}{4}.

$$\frac{287}{12}\times \frac{4}{19}a$$

Multiply \frac{287}{12} times \frac{4}{19} by multiplying numerator times numerator and denominator times denominator.

$$\frac{287\times 4}{12\times 19}a$$

Do the multiplications in the fraction \frac{287\times 4}{12\times 19}.

$$\frac{1148}{228}a$$

Reduce the fraction \frac{1148}{228} to lowest terms by extracting and canceling out 4.

$$\frac{287}{57}a$$