Using long division convert 6 7/15 to a decimal
To convert the mixed number 6 7/15 to a decimal using long division, follow these steps:
Step 1: Multiply the whole number (6) by the denominator (15) and add it to the numerator (7).
6 * 15 + 7 = 97
Step 2: Write down the result from step 1 (97) as the numerator and write down the denominator (15).
97/15
Step 3: Perform long division, dividing 97 by 15.
```
6.
__________
15| 97
9 0
-----
70
60
-----
100
90
-----
100
90
-----
10
```
Step 4: The remainder is 10. Write down the remainder (10) as the numerator and the original denominator (15) as the denominator of a fraction.
10/15
Step 5: Simplify the fraction by dividing both the numerator and the denominator by their greatest common factor, which is 5.
10 ÷ 5 = 2
15 ÷ 5 = 3
The simplified fraction is 2/3.
Therefore, 6 7/15 as a decimal is approximately 6.46667.
To convert the mixed number 6 7/15 to a decimal using long division, follow these steps:
Step 1: Write down the mixed number as a proper fraction.
The mixed number 6 7/15 can be written as an improper fraction as (6 * 15 + 7) / 15, which is equal to 97/15.
Step 2: Perform the long division.
Divide the numerator (97) by the denominator (15):
6.4666...
------------
15 | 97
90
-----
7
Step 3: Write down the quotient.
The quotient is the whole number part of the division result: 6.
Step 4: Write down the decimal representation.
Place a decimal point after the whole number part and write the decimal part directly below the line:
6.4666...
Therefore, the decimal representation of 6 7/15 is approximately 6.4666... (rounded to four decimal places).