Solve {left(125/14right)}^2-2.5^2=

$${ \left( \frac{ 125 }{ 14 } \right) }^{ 2 } - { 2.5 }^{ 2 } =$$

Evaluate

$$\frac{3600}{49}\approx 73.469387755$$

Solution Steps

Calculate \frac{125}{14} to the power of 2 and get \frac{15625}{196}.

$$\frac{15625}{196}-2.5^{2}$$

Calculate 2.5 to the power of 2 and get 6.25.

$$\frac{15625}{196}-6.25$$

Convert decimal number 6.25 to fraction \frac{625}{100}. Reduce the fraction \frac{625}{100} to lowest terms by extracting and canceling out 25.

$$\frac{15625}{196}-\frac{25}{4}$$

Least common multiple of 196 and 4 is 196. Convert \frac{15625}{196} and \frac{25}{4} to fractions with denominator 196.

$$\frac{15625}{196}-\frac{1225}{196}$$

Since \frac{15625}{196} and \frac{1225}{196} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15625-1225}{196}$$

Subtract 1225 from 15625 to get 14400.

$$\frac{14400}{196}$$

Reduce the fraction \frac{14400}{196} to lowest terms by extracting and canceling out 4.

$$\frac{3600}{49}$$

Factor

$$\frac{2 ^ {4} \cdot 3 ^ {2} \cdot 5 ^ {2}}{7 ^ {2}} = 73\frac{23}{49} = 73.46938775510205$$