Question

Convert the decimal below to a fraction in simplest form.
0, point, 7, 4
0.74

Answer 1

Convert the decimal below to a fraction in simplest form.
0, point, 7, 4
0.74

Answer 2

To convert the decimal 0.74 to a fraction, follow these steps:

1. Write the decimal as a fraction over 1:
\[
0.74 = \frac{0.74}{1}
\]

2. Multiply both the numerator and the denominator by 100 to eliminate the decimal:
\[
\frac{0.74 \times 100}{1 \times 100} = \frac{74}{100}
\]

3. Now simplify the fraction \(\frac{74}{100}\) by finding the greatest common divisor (GCD) of 74 and 100. The GCD is 2.

4. Divide both the numerator and the denominator by their GCD:
\[
\frac{74 \div 2}{100 \div 2} = \frac{37}{50}
\]

Thus, the decimal 0.74 as a fraction in simplest form is:
\[
\frac{37}{50}
\]