Question

Which shows the fractions Three-fifths and Seven-tenths written with a common denominator?

a) Three-tenths and Seven-tenths
b) Eight-tenths and Seven-tenths
c) Six-tenths and Seven-tenths
d) Five-tenths and Seven-tenths

Answer 1

The correct answer is (c) Six-tenths and Seven-tenths, as both fractions are converted to have a common denominator of 10, with three-fifths becoming six-tenths and seven-tenths remaining unchanged.

Step-by-step explanation:

To find a common denominator for the fractions three-fifths (3/5) and seven-tenths (7/10), we need to find a multiple that both denominators (5 and 10) can divide evenly into. In this case, the lowest common multiple of 5 and 10 is 10. Now we need to convert each fraction to an equivalent fraction with a denominator of 10.

For three-fifths (3/5), we multiply both the numerator and the denominator by 2 to get an equivalent fraction with a denominator of 10:

3/5 × 2/2 = 6/10

Since seven-tenths (7/10) already has a denominator of 10, we do not need to convert it. Therefore, the equivalent fractions with a common denominator are:

Three-fifths = 6/10
Seven-tenths = 7/10

So, the correct answer is (c) Six-tenths and Seven-tenths.