Solve 6.3*2.5+5.98*4+4.2/350*500*2+1.5/250*500*2.5+3.3*2+3.9/300*500

$$6.3 \times 2.5+5.98 \times 4+ \frac{ 4.2 }{ 350 } \times 500 \times 2+ \frac{ 1.5 }{ 250 } \times 500 \times 2.5+3.3 \times 2+ \frac{ 3.9 }{ 300 } \times 500$$

Evaluate

$$72.27$$

Solution Steps

Multiply 6.3 and 2.5 to get 15.75.

$$15.75+5.98\times 4+\frac{4.2}{350}\times 500\times 2+\frac{1.5}{250}\times 500\times 2.5+3.3\times 2+\frac{3.9}{300}\times 500$$

Multiply 5.98 and 4 to get 23.92.

$$15.75+23.92+\frac{4.2}{350}\times 500\times 2+\frac{1.5}{250}\times 500\times 2.5+3.3\times 2+\frac{3.9}{300}\times 500$$

Add 15.75 and 23.92 to get 39.67.

$$39.67+\frac{4.2}{350}\times 500\times 2+\frac{1.5}{250}\times 500\times 2.5+3.3\times 2+\frac{3.9}{300}\times 500$$

Expand \frac{4.2}{350} by multiplying both numerator and the denominator by 10.

$$39.67+\frac{42}{3500}\times 500\times 2+\frac{1.5}{250}\times 500\times 2.5+3.3\times 2+\frac{3.9}{300}\times 500$$

Reduce the fraction \frac{42}{3500} to lowest terms by extracting and canceling out 14.

$$39.67+\frac{3}{250}\times 500\times 2+\frac{1.5}{250}\times 500\times 2.5+3.3\times 2+\frac{3.9}{300}\times 500$$

Express \frac{3}{250}\times 500 as a single fraction.

$$39.67+\frac{3\times 500}{250}\times 2+\frac{1.5}{250}\times 500\times 2.5+3.3\times 2+\frac{3.9}{300}\times 500$$

Multiply 3 and 500 to get 1500.

$$39.67+\frac{1500}{250}\times 2+\frac{1.5}{250}\times 500\times 2.5+3.3\times 2+\frac{3.9}{300}\times 500$$

Divide 1500 by 250 to get 6.

$$39.67+6\times 2+\frac{1.5}{250}\times 500\times 2.5+3.3\times 2+\frac{3.9}{300}\times 500$$

Multiply 6 and 2 to get 12.

$$39.67+12+\frac{1.5}{250}\times 500\times 2.5+3.3\times 2+\frac{3.9}{300}\times 500$$

Add 39.67 and 12 to get 51.67.

$$51.67+\frac{1.5}{250}\times 500\times 2.5+3.3\times 2+\frac{3.9}{300}\times 500$$

Expand \frac{1.5}{250} by multiplying both numerator and the denominator by 10.

$$51.67+\frac{15}{2500}\times 500\times 2.5+3.3\times 2+\frac{3.9}{300}\times 500$$

Reduce the fraction \frac{15}{2500} to lowest terms by extracting and canceling out 5.

$$51.67+\frac{3}{500}\times 500\times 2.5+3.3\times 2+\frac{3.9}{300}\times 500$$

Cancel out 500 and 500.

$$51.67+3\times 2.5+3.3\times 2+\frac{3.9}{300}\times 500$$

Multiply 3 and 2.5 to get 7.5.

$$51.67+7.5+3.3\times 2+\frac{3.9}{300}\times 500$$

Add 51.67 and 7.5 to get 59.17.

$$59.17+3.3\times 2+\frac{3.9}{300}\times 500$$

Multiply 3.3 and 2 to get 6.6.

$$59.17+6.6+\frac{3.9}{300}\times 500$$

Add 59.17 and 6.6 to get 65.77.

$$65.77+\frac{3.9}{300}\times 500$$

Expand \frac{3.9}{300} by multiplying both numerator and the denominator by 10.

$$65.77+\frac{39}{3000}\times 500$$

Reduce the fraction \frac{39}{3000} to lowest terms by extracting and canceling out 3.

$$65.77+\frac{13}{1000}\times 500$$

Express \frac{13}{1000}\times 500 as a single fraction.

$$65.77+\frac{13\times 500}{1000}$$

Multiply 13 and 500 to get 6500.

$$65.77+\frac{6500}{1000}$$

Reduce the fraction \frac{6500}{1000} to lowest terms by extracting and canceling out 500.

$$65.77+\frac{13}{2}$$

Convert decimal number 65.77 to fraction \frac{6577}{100}.

$$\frac{6577}{100}+\frac{13}{2}$$

Least common multiple of 100 and 2 is 100. Convert \frac{6577}{100} and \frac{13}{2} to fractions with denominator 100.

$$\frac{6577}{100}+\frac{650}{100}$$

Since \frac{6577}{100} and \frac{650}{100} have the same denominator, add them by adding their numerators.

$$\frac{6577+650}{100}$$

Add 6577 and 650 to get 7227.

$$\frac{7227}{100}$$

Factor

$$\frac{11 \cdot 73 \cdot 3 ^ {2}}{2 ^ {2} \cdot 5 ^ {2}} = 72\frac{27}{100} = 72.27$$