Solve 1/416/90.7*0.760.92/0.8260*1125*1125=

$$\frac{ 1 }{ 4 } \frac{ 16 }{ 9 } 0.7 \cdot 0.76 \frac{ 0.92 }{ 0.82 } 60 \cdot 1125 \cdot 1125=$$

Evaluate

$$\frac{1822905000}{41}\approx 44461097.56097561$$

Solution Steps

Multiply \frac{1}{4} times \frac{16}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 16}{4\times 9}\times 0.7\times \frac{0.76\times 0.82+0.92}{0.82}\times 60\times 1125\times 1125$$

Do the multiplications in the fraction \frac{1\times 16}{4\times 9}.

$$\frac{16}{36}\times 0.7\times \frac{0.76\times 0.82+0.92}{0.82}\times 60\times 1125\times 1125$$

Reduce the fraction \frac{16}{36} to lowest terms by extracting and canceling out 4.

$$\frac{4}{9}\times 0.7\times \frac{0.76\times 0.82+0.92}{0.82}\times 60\times 1125\times 1125$$

Convert decimal number 0.7 to fraction \frac{7}{10}.

$$\frac{4}{9}\times \frac{7}{10}\times \frac{0.76\times 0.82+0.92}{0.82}\times 60\times 1125\times 1125$$

Multiply \frac{4}{9} times \frac{7}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 7}{9\times 10}\times \frac{0.76\times 0.82+0.92}{0.82}\times 60\times 1125\times 1125$$

Do the multiplications in the fraction \frac{4\times 7}{9\times 10}.

$$\frac{28}{90}\times \frac{0.76\times 0.82+0.92}{0.82}\times 60\times 1125\times 1125$$

Reduce the fraction \frac{28}{90} to lowest terms by extracting and canceling out 2.

$$\frac{14}{45}\times \frac{0.76\times 0.82+0.92}{0.82}\times 60\times 1125\times 1125$$

Multiply 0.76 and 0.82 to get 0.6232.

$$\frac{14}{45}\times \frac{0.6232+0.92}{0.82}\times 60\times 1125\times 1125$$

Add 0.6232 and 0.92 to get 1.5432.

$$\frac{14}{45}\times \frac{1.5432}{0.82}\times 60\times 1125\times 1125$$

Expand \frac{1.5432}{0.82} by multiplying both numerator and the denominator by 10000.

$$\frac{14}{45}\times \frac{15432}{8200}\times 60\times 1125\times 1125$$

Reduce the fraction \frac{15432}{8200} to lowest terms by extracting and canceling out 8.

$$\frac{14}{45}\times \frac{1929}{1025}\times 60\times 1125\times 1125$$

Multiply \frac{14}{45} times \frac{1929}{1025} by multiplying numerator times numerator and denominator times denominator.

$$\frac{14\times 1929}{45\times 1025}\times 60\times 1125\times 1125$$

Do the multiplications in the fraction \frac{14\times 1929}{45\times 1025}.

$$\frac{27006}{46125}\times 60\times 1125\times 1125$$

Reduce the fraction \frac{27006}{46125} to lowest terms by extracting and canceling out 3.

$$\frac{9002}{15375}\times 60\times 1125\times 1125$$

Express \frac{9002}{15375}\times 60 as a single fraction.

$$\frac{9002\times 60}{15375}\times 1125\times 1125$$

Multiply 9002 and 60 to get 540120.

$$\frac{540120}{15375}\times 1125\times 1125$$

Reduce the fraction \frac{540120}{15375} to lowest terms by extracting and canceling out 15.

$$\frac{36008}{1025}\times 1125\times 1125$$

Express \frac{36008}{1025}\times 1125 as a single fraction.

$$\frac{36008\times 1125}{1025}\times 1125$$

Multiply 36008 and 1125 to get 40509000.

$$\frac{40509000}{1025}\times 1125$$

Reduce the fraction \frac{40509000}{1025} to lowest terms by extracting and canceling out 25.

$$\frac{1620360}{41}\times 1125$$

Express \frac{1620360}{41}\times 1125 as a single fraction.

$$\frac{1620360\times 1125}{41}$$

Multiply 1620360 and 1125 to get 1822905000.

$$\frac{1822905000}{41}$$

Factor

$$\frac{7 \cdot 643 \cdot 2 ^ {3} \cdot 3 ^ {4} \cdot 5 ^ {4}}{41} = 44461097\frac{23}{41} = 44461097.56097561$$