Solve 51.35%*107+48.65%*1^09=107.9

$$51.35 \% \times 107 + 48.65 \% \times 1 ^ { 09 } = 107.9$$

Verify

Solution Steps

Expand \frac{51.35}{100} by multiplying both numerator and the denominator by 100.

$$\frac{5135}{10000}\times 107+\frac{48.65}{100}\times 1^{0\times 9}=107.9$$

Reduce the fraction \frac{5135}{10000} to lowest terms by extracting and canceling out 5.

$$\frac{1027}{2000}\times 107+\frac{48.65}{100}\times 1^{0\times 9}=107.9$$

Multiply \frac{1027}{2000} and 107 to get \frac{109889}{2000}.

$$\frac{109889}{2000}+\frac{48.65}{100}\times 1^{0\times 9}=107.9$$

Expand \frac{48.65}{100} by multiplying both numerator and the denominator by 100.

$$\frac{109889}{2000}+\frac{4865}{10000}\times 1^{0\times 9}=107.9$$

Reduce the fraction \frac{4865}{10000} to lowest terms by extracting and canceling out 5.

$$\frac{109889}{2000}+\frac{973}{2000}\times 1^{0\times 9}=107.9$$

Multiply 0 and 9 to get 0.

$$\frac{109889}{2000}+\frac{973}{2000}\times 1^{0}=107.9$$

Calculate 1 to the power of 0 and get 1.

$$\frac{109889}{2000}+\frac{973}{2000}\times 1=107.9$$

Multiply \frac{973}{2000} and 1 to get \frac{973}{2000}.

$$\frac{109889}{2000}+\frac{973}{2000}=107.9$$

Add \frac{109889}{2000} and \frac{973}{2000} to get \frac{55431}{1000}.

$$\frac{55431}{1000}=107.9$$

Convert decimal number 107.9 to fraction \frac{1079}{10}.

$$\frac{55431}{1000}=\frac{1079}{10}$$

Least common multiple of 1000 and 10 is 1000. Convert \frac{55431}{1000} and \frac{1079}{10} to fractions with denominator 1000.

$$\frac{55431}{1000}=\frac{107900}{1000}$$

Compare \frac{55431}{1000} and \frac{107900}{1000}.

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