Solve 0.125*3/4+1/8*8.25+0.125+0.374*48+0.62*37.4-3.74

$$0.125 \times \frac{ 3 }{ 4 } + \frac{ 1 }{ 8 } \times 8.25+0.125+0.374 \cdot 48+0.62 \cdot 37.4-3.74$$

Evaluate

$$38.65$$

Solution Steps

Convert decimal number 0.125 to fraction \frac{125}{1000}. Reduce the fraction \frac{125}{1000} to lowest terms by extracting and canceling out 125.

$$\frac{1}{8}\times \frac{3}{4}+\frac{1}{8}\times 8.25+0.125+0.374\times 48+0.62\times 37.4-3.74$$

Multiply \frac{1}{8} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 3}{8\times 4}+\frac{1}{8}\times 8.25+0.125+0.374\times 48+0.62\times 37.4-3.74$$

Do the multiplications in the fraction \frac{1\times 3}{8\times 4}.

$$\frac{3}{32}+\frac{1}{8}\times 8.25+0.125+0.374\times 48+0.62\times 37.4-3.74$$

Convert decimal number 8.25 to fraction \frac{825}{100}. Reduce the fraction \frac{825}{100} to lowest terms by extracting and canceling out 25.

$$\frac{3}{32}+\frac{1}{8}\times \frac{33}{4}+0.125+0.374\times 48+0.62\times 37.4-3.74$$

Multiply \frac{1}{8} times \frac{33}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{32}+\frac{1\times 33}{8\times 4}+0.125+0.374\times 48+0.62\times 37.4-3.74$$

Do the multiplications in the fraction \frac{1\times 33}{8\times 4}.

$$\frac{3}{32}+\frac{33}{32}+0.125+0.374\times 48+0.62\times 37.4-3.74$$

Since \frac{3}{32} and \frac{33}{32} have the same denominator, add them by adding their numerators.

$$\frac{3+33}{32}+0.125+0.374\times 48+0.62\times 37.4-3.74$$

Add 3 and 33 to get 36.

$$\frac{36}{32}+0.125+0.374\times 48+0.62\times 37.4-3.74$$

Reduce the fraction \frac{36}{32} to lowest terms by extracting and canceling out 4.

$$\frac{9}{8}+0.125+0.374\times 48+0.62\times 37.4-3.74$$

Convert decimal number 0.125 to fraction \frac{125}{1000}. Reduce the fraction \frac{125}{1000} to lowest terms by extracting and canceling out 125.

$$\frac{9}{8}+\frac{1}{8}+0.374\times 48+0.62\times 37.4-3.74$$

Since \frac{9}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.

$$\frac{9+1}{8}+0.374\times 48+0.62\times 37.4-3.74$$

Add 9 and 1 to get 10.

$$\frac{10}{8}+0.374\times 48+0.62\times 37.4-3.74$$

Reduce the fraction \frac{10}{8} to lowest terms by extracting and canceling out 2.

$$\frac{5}{4}+0.374\times 48+0.62\times 37.4-3.74$$

Multiply 0.374 and 48 to get 17.952.

$$\frac{5}{4}+17.952+0.62\times 37.4-3.74$$

Convert decimal number 17.952 to fraction \frac{17952}{1000}. Reduce the fraction \frac{17952}{1000} to lowest terms by extracting and canceling out 8.

$$\frac{5}{4}+\frac{2244}{125}+0.62\times 37.4-3.74$$

Least common multiple of 4 and 125 is 500. Convert \frac{5}{4} and \frac{2244}{125} to fractions with denominator 500.

$$\frac{625}{500}+\frac{8976}{500}+0.62\times 37.4-3.74$$

Since \frac{625}{500} and \frac{8976}{500} have the same denominator, add them by adding their numerators.

$$\frac{625+8976}{500}+0.62\times 37.4-3.74$$

Add 625 and 8976 to get 9601.

$$\frac{9601}{500}+0.62\times 37.4-3.74$$

Multiply 0.62 and 37.4 to get 23.188.

$$\frac{9601}{500}+23.188-3.74$$

Convert decimal number 23.188 to fraction \frac{23188}{1000}. Reduce the fraction \frac{23188}{1000} to lowest terms by extracting and canceling out 4.

$$\frac{9601}{500}+\frac{5797}{250}-3.74$$

Least common multiple of 500 and 250 is 500. Convert \frac{9601}{500} and \frac{5797}{250} to fractions with denominator 500.

$$\frac{9601}{500}+\frac{11594}{500}-3.74$$

Since \frac{9601}{500} and \frac{11594}{500} have the same denominator, add them by adding their numerators.

$$\frac{9601+11594}{500}-3.74$$

Add 9601 and 11594 to get 21195.

$$\frac{21195}{500}-3.74$$

Reduce the fraction \frac{21195}{500} to lowest terms by extracting and canceling out 5.

$$\frac{4239}{100}-3.74$$

Convert decimal number 3.74 to fraction \frac{374}{100}. Reduce the fraction \frac{374}{100} to lowest terms by extracting and canceling out 2.

$$\frac{4239}{100}-\frac{187}{50}$$

Least common multiple of 100 and 50 is 100. Convert \frac{4239}{100} and \frac{187}{50} to fractions with denominator 100.

$$\frac{4239}{100}-\frac{374}{100}$$

Since \frac{4239}{100} and \frac{374}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4239-374}{100}$$

Subtract 374 from 4239 to get 3865.

$$\frac{3865}{100}$$

Reduce the fraction \frac{3865}{100} to lowest terms by extracting and canceling out 5.

$$\frac{773}{20}$$

Factor

$$\frac{773}{5 \cdot 2 ^ {2}} = 38\frac{13}{20} = 38.65$$