How would you convert 34/50 to a decimal?

The best way to look at the relationship between fractions decimals and percentages is to find their equivalents. The easiest way to do this is to start with numbers out of 100. (All percentages are out of 100!)

0.01 = 1/100 = 1%

If you know that 0.01 = 1/100, you can convert your fraction to an equivalent with a denominator of 100.

This becomes more manageable when you have a denominator that is a multiple of 100.

Step 1: convert 34/50 --> ??/100

100 is x2 50

So, you multiply both top and bottom by 2.

Therefore, 34/50 = 68/100.

Step 2: remember our fact from earlier?

0.01 = 1/100

So... 0.68 = 68/100 = 34/50

Using equivalent fractions we can change the fraction to a fraction with denominator of 100: 34/50 = 68/100 or "sixty-eight hundredths". Remembering that "hundredths" is the second decimal column, we can therefore write the decimal 0.68.