Solve 1*1/40+2*3/20+3*3/8+4*9/20=frac{73}{4}

$$1 \times \frac { 1 } { 40 } + 2 \times \frac { 3 } { 20 } + 3 \times \frac { 3 } { 8 } + 4 \times \frac { 9 } { 20 } = \frac { 73 } { 4 }$$

Verify

Solution Steps

Multiply 1 and \frac{1}{40} to get \frac{1}{40}.

$$\frac{1}{40}+2\times \frac{3}{20}+3\times \frac{3}{8}+4\times \frac{9}{20}=\frac{73}{4}$$

Express 2\times \frac{3}{20} as a single fraction.

$$\frac{1}{40}+\frac{2\times 3}{20}+3\times \frac{3}{8}+4\times \frac{9}{20}=\frac{73}{4}$$

Multiply 2 and 3 to get 6.

$$\frac{1}{40}+\frac{6}{20}+3\times \frac{3}{8}+4\times \frac{9}{20}=\frac{73}{4}$$

Reduce the fraction \frac{6}{20} to lowest terms by extracting and canceling out 2.

$$\frac{1}{40}+\frac{3}{10}+3\times \frac{3}{8}+4\times \frac{9}{20}=\frac{73}{4}$$

Least common multiple of 40 and 10 is 40. Convert \frac{1}{40} and \frac{3}{10} to fractions with denominator 40.

$$\frac{1}{40}+\frac{12}{40}+3\times \frac{3}{8}+4\times \frac{9}{20}=\frac{73}{4}$$

Since \frac{1}{40} and \frac{12}{40} have the same denominator, add them by adding their numerators.

$$\frac{1+12}{40}+3\times \frac{3}{8}+4\times \frac{9}{20}=\frac{73}{4}$$

Add 1 and 12 to get 13.

$$\frac{13}{40}+3\times \frac{3}{8}+4\times \frac{9}{20}=\frac{73}{4}$$

Express 3\times \frac{3}{8} as a single fraction.

$$\frac{13}{40}+\frac{3\times 3}{8}+4\times \frac{9}{20}=\frac{73}{4}$$

Multiply 3 and 3 to get 9.

$$\frac{13}{40}+\frac{9}{8}+4\times \frac{9}{20}=\frac{73}{4}$$

Least common multiple of 40 and 8 is 40. Convert \frac{13}{40} and \frac{9}{8} to fractions with denominator 40.

$$\frac{13}{40}+\frac{45}{40}+4\times \frac{9}{20}=\frac{73}{4}$$

Since \frac{13}{40} and \frac{45}{40} have the same denominator, add them by adding their numerators.

$$\frac{13+45}{40}+4\times \frac{9}{20}=\frac{73}{4}$$

Add 13 and 45 to get 58.

$$\frac{58}{40}+4\times \frac{9}{20}=\frac{73}{4}$$

Reduce the fraction \frac{58}{40} to lowest terms by extracting and canceling out 2.

$$\frac{29}{20}+4\times \frac{9}{20}=\frac{73}{4}$$

Express 4\times \frac{9}{20} as a single fraction.

$$\frac{29}{20}+\frac{4\times 9}{20}=\frac{73}{4}$$

Multiply 4 and 9 to get 36.

$$\frac{29}{20}+\frac{36}{20}=\frac{73}{4}$$

Since \frac{29}{20} and \frac{36}{20} have the same denominator, add them by adding their numerators.

$$\frac{29+36}{20}=\frac{73}{4}$$

Add 29 and 36 to get 65.

$$\frac{65}{20}=\frac{73}{4}$$

Reduce the fraction \frac{65}{20} to lowest terms by extracting and canceling out 5.

$$\frac{13}{4}=\frac{73}{4}$$

Compare \frac{13}{4} and \frac{73}{4}.

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