Solve 1.75/5frac{8{15}-42/3}0.025

$$\frac{ 1.75 }{ 5 \frac{ 8 }{ 15 } -4 \frac{ 2 }{ 3 } } 0.025$$

Evaluate

$$\frac{21}{416}\approx 0.050480769$$

Solution Steps

Multiply 5 and 15 to get 75.

$$\frac{1.75}{\frac{75+8}{15}-\frac{4\times 3+2}{3}}\times 0.025$$

Add 75 and 8 to get 83.

$$\frac{1.75}{\frac{83}{15}-\frac{4\times 3+2}{3}}\times 0.025$$

Multiply 4 and 3 to get 12.

$$\frac{1.75}{\frac{83}{15}-\frac{12+2}{3}}\times 0.025$$

Add 12 and 2 to get 14.

$$\frac{1.75}{\frac{83}{15}-\frac{14}{3}}\times 0.025$$

Least common multiple of 15 and 3 is 15. Convert \frac{83}{15} and \frac{14}{3} to fractions with denominator 15.

$$\frac{1.75}{\frac{83}{15}-\frac{70}{15}}\times 0.025$$

Since \frac{83}{15} and \frac{70}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1.75}{\frac{83-70}{15}}\times 0.025$$

Subtract 70 from 83 to get 13.

$$\frac{1.75}{\frac{13}{15}}\times 0.025$$

Divide 1.75 by \frac{13}{15} by multiplying 1.75 by the reciprocal of \frac{13}{15}.

$$1.75\times \frac{15}{13}\times 0.025$$

Convert decimal number 1.75 to fraction \frac{175}{100}. Reduce the fraction \frac{175}{100} to lowest terms by extracting and canceling out 25.

$$\frac{7}{4}\times \frac{15}{13}\times 0.025$$

Multiply \frac{7}{4} times \frac{15}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 15}{4\times 13}\times 0.025$$

Do the multiplications in the fraction \frac{7\times 15}{4\times 13}.

$$\frac{105}{52}\times 0.025$$

Convert decimal number 0.025 to fraction \frac{25}{1000}. Reduce the fraction \frac{25}{1000} to lowest terms by extracting and canceling out 25.

$$\frac{105}{52}\times \frac{1}{40}$$

Multiply \frac{105}{52} times \frac{1}{40} by multiplying numerator times numerator and denominator times denominator.

$$\frac{105\times 1}{52\times 40}$$

Do the multiplications in the fraction \frac{105\times 1}{52\times 40}.

$$\frac{105}{2080}$$

Reduce the fraction \frac{105}{2080} to lowest terms by extracting and canceling out 5.

$$\frac{21}{416}$$

Factor

$$\frac{3 \cdot 7}{13 \cdot 2 ^ {5}} = 0.05048076923076923$$