Question

Change the following decimals to fractions give your answers in their simplest form a) 0.3 b) 0.46 c) 0.075

Answer 1

Answer:

$0.3 = \frac{3}{10}\\\\ 0.46 = \frac{23}{50} \\\\0.075 = \frac{3}{40}$

Step-by-step explanation:

To convert decimals to fractions, you look at the place of the last digit of the fraction (i.e. the digit that the farthest right from the decimal)

For 0.3, 3 is in the tenths place, so we end up with the fraction $\frac{3}{10}$

For 0.46, 6 is in the hundreths place, so before simplifying we have $\frac{46}{100}$

The GCF of 46 and 100 is 2 so we divide the fraction by $\frac{2}{2}$ to get $\frac{46}{100}$ ÷$\frac{2}{2}$ = $\frac{23}{50}$

For 0.075, the 5 is in the thousandths place, so before simplifying we have $\frac{75}{1000}$

The GCF of 75 and 1000 is 25 so we decide the fraction by $\frac{25}{25}$ to get $\frac{75}{1000}$ ÷$\frac{25}{25}$ = $\frac{3}{40}$