Solve .625div19/16=37

$$.625 \div 1 \frac { 9 } { 16 } = 37$$

Verify

Solution Steps

Divide 0.625 by \frac{1\times 16+9}{16} by multiplying 0.625 by the reciprocal of \frac{1\times 16+9}{16}.

$$\frac{0.625\times 16}{1\times 16+9}=37$$

Multiply 0.625 and 16 to get 10.

$$\frac{10}{1\times 16+9}=37$$

Multiply 1 and 16 to get 16.

$$\frac{10}{16+9}=37$$

Add 16 and 9 to get 25.

$$\frac{10}{25}=37$$

Reduce the fraction \frac{10}{25} to lowest terms by extracting and canceling out 5.

$$\frac{2}{5}=37$$

Convert 37 to fraction \frac{185}{5}.

$$\frac{2}{5}=\frac{185}{5}$$

Compare \frac{2}{5} and \frac{185}{5}.

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