Solve 4.5*5/6*5/6+7/8

$$4.5 \times \frac { 5 } { 6 } \times \frac { 5 } { 6 } + \frac { 7 } { 8 }$$

Evaluate

$$4$$

Solution Steps

Convert decimal number 4.5 to fraction \frac{45}{10}. Reduce the fraction \frac{45}{10} to lowest terms by extracting and canceling out 5.

$$\frac{9}{2}\times \frac{5}{6}\times \frac{5}{6}+\frac{7}{8}$$

Multiply \frac{9}{2} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 5}{2\times 6}\times \frac{5}{6}+\frac{7}{8}$$

Do the multiplications in the fraction \frac{9\times 5}{2\times 6}.

$$\frac{45}{12}\times \frac{5}{6}+\frac{7}{8}$$

Reduce the fraction \frac{45}{12} to lowest terms by extracting and canceling out 3.

$$\frac{15}{4}\times \frac{5}{6}+\frac{7}{8}$$

Multiply \frac{15}{4} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\times 5}{4\times 6}+\frac{7}{8}$$

Do the multiplications in the fraction \frac{15\times 5}{4\times 6}.

$$\frac{75}{24}+\frac{7}{8}$$

Reduce the fraction \frac{75}{24} to lowest terms by extracting and canceling out 3.

$$\frac{25}{8}+\frac{7}{8}$$

Since \frac{25}{8} and \frac{7}{8} have the same denominator, add them by adding their numerators.

$$\frac{25+7}{8}$$

Add 25 and 7 to get 32.

$$\frac{32}{8}$$

Divide 32 by 8 to get 4.

$$4$$

Factor

$$2^{2}$$