Use long division to convert 6 7/20 to a decimal.
A. 6.72
B. 6.285714
C. 0.35
D. 6.35
D. 6.35
To convert 6 7/20 to a decimal using long division, follow these steps:
Step 1: Rewrite the whole number and fraction as a fraction.
6 7/20 can be rewritten as 6 + 7/20.
Step 2: Convert the mixed number to an improper fraction.
6 + 7/20 can be converted to (6 * 20 + 7)/20 = (120 + 7)/20 = 127/20.
Step 3: Perform the long division. Divide the numerator (127) by the denominator (20).
6.35
--------
20 | 127
- 120
-----
70
- 60
-----
100
- 100
-----
0
The quotient is 6.35, so the correct answer is D. 6.35.
To convert the mixed number 6 7/20 to a decimal using long division, follow these steps:
Step 1: Rewrite the mixed number as an improper fraction.
To convert a mixed number to an improper fraction, multiply the whole number by the denominator of the fraction and add the numerator.
6 7/20 = (6 * 20 + 7) / 20 = 127/20
Step 2: Perform the long division.
Divide the numerator of the fraction (127) by the denominator (20), and express the quotient as a decimal.
6.35 <-- The decimal representation of the mixed number 6 7/20
Therefore, the decimal representation for the mixed number 6 7/20 is 6.35, which is option D.