Divide. Write the quotient in simplest form.
three-fifths ÷ two-tenths
(1 point)
Responses
six over ten
Image with alt text: six over ten
three-fifths
Image with alt text: three-fifths
3
3
five over fifteen
To divide three-fifths ÷ two-tenths, you can follow these steps:
Step 1: Simplify the fractions:
- For three-fifths, the numerator is 3 and the denominator is 5.
- For two-tenths, the numerator is 2 and the denominator is 10.
To simplify, you can reduce both fractions by dividing the numerator and denominator by their greatest common divisor (GCD).
Step 2: Find the GCD of the numerators (3 and 2):
The GCD of 3 and 2 is 1.
Step 3: Divide the numerators by the GCD:
- 3 ÷ 1 = 3
- 2 ÷ 1 = 2
Step 4: Divide the denominators by the GCD:
- 5 ÷ 1 = 5
- 10 ÷ 1 = 10
Step 5: Write the quotient in simplest form:
The simplified quotient is:
- The numerator is 3
- The denominator is 10
Therefore, three-fifths ÷ two-tenths = 3/10.