Solve 16=1/10.24+8

$$16 = \frac { 1 } { 10.24 } + 8$$

Verify

Solution Steps

Expand \frac{1}{10.24} by multiplying both numerator and the denominator by 100.

$$16=\frac{100}{1024}+8$$

Reduce the fraction \frac{100}{1024} to lowest terms by extracting and canceling out 4.

$$16=\frac{25}{256}+8$$

Convert 8 to fraction \frac{2048}{256}.

$$16=\frac{25}{256}+\frac{2048}{256}$$

Since \frac{25}{256} and \frac{2048}{256} have the same denominator, add them by adding their numerators.

$$16=\frac{25+2048}{256}$$

Add 25 and 2048 to get 2073.

$$16=\frac{2073}{256}$$

Convert 16 to fraction \frac{4096}{256}.

$$\frac{4096}{256}=\frac{2073}{256}$$

Compare \frac{4096}{256} and \frac{2073}{256}.

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