Use long division to convert 6 7/15 to a decimal
To convert the mixed number 6 7/15 to a decimal using long division, follow these steps:
1. Rewrite the mixed number as an improper fraction:
6 7/15 = (6 * 15 + 7)/15 = 97/15
2. Divide the numerator (97) by the denominator (15):
6.4666666666666666666666666666667
________________________
15 | 97.000
90
________
7
0
________
70
60
_________
100
90
_________
10
0
_________
100
3. The quotient is 6.4666666666666666666666666666667, which can be rounded to 6.47 (rounded to the nearest hundredth).
Therefore, 6 7/15 is approximately 6.47 when rounded to two decimal places.
To convert the mixed number 6 7/15 into a decimal using long division, follow these steps:
Step 1: Write the mixed number as an improper fraction.
To do this, multiply the whole number part (6) by the denominator (15) and then add the numerator (7). This gives us: 6 × 15 + 7 = 97
Step 2: Divide the numerator (97) by the denominator (15) using long division.
Write 97 as the dividend and 15 as the divisor:
_____
15 | 97
-90
----
70
- 60
----
100
Step 3: Continue the long division process until you reach a desired level of accuracy.
Since we obtained a remainder of 10, we need to keep going to more decimal places. One way to continue is by adding a decimal point and then adding zeros to the right of the remainder. We then bring down additional zeros and continue dividing until we reach the desired accuracy.
_____
15 | 97.00
-90
----
700
- 600
----
100
- 90
----
10
- 0
----
0
Step 4: Write the quotient as a decimal.
The quotient is the whole number part followed by a decimal point and then the decimal part. In this case, the quotient is 6 with a decimal part of 0. They can be combined to obtain the decimal value: 6.0
Therefore, 6 7/15 as a decimal is 6.0