Decimal Expansion of 35/50

To find the decimal expansion of the rational number 35/50, follow the steps below:

Step 1: Simplify the fraction by dividing both the numerator and denominator by their greatest common factor (GCF), which is 5.

35 ÷ 5 = 7

50 ÷ 5 = 10

Therefore, 35/50 simplified is 7/10.

Step 2: Write the fraction as a decimal by dividing the numerator by the denominator.

7 ÷ 10 = 0.7

Therefore, the decimal expansion of the rational number 35/50 is 0.7.

Explanation

When we simplify the fraction 35/50 by dividing both the numerator and denominator by their GCF, we get an equivalent fraction that has smaller numbers. This makes it easier to find the decimal expansion of the rational number.

Dividing the numerator by the denominator gives us the quotient, which is the decimal representation of the rational number. In this case, 7 divided by 10 gives us 0.7.

Therefore, the decimal expansion of the rational number 35/50 is 0.7.