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:
Step 1: Write the mixed number as a fraction.
The mixed number 6 7/15 can be written as an improper fraction:
6 7/15 = (6 * 15 + 7) / 15 = 97/15
Step 2: Perform long division.
Divide 97 by 15 using long division:
6.4
___________
15 │97.0
- Subtract 75 (15 * 5) from 97, leaving a remainder of 22.
- Bring down the decimal point and append a zero to the right.
- Divide 220 by 15, which results in 14 with a remainder of 10.
- Bring down another zero and append it to the right.
- Divide 100 by 15, which results in 6 with a remainder of 10.
- Bring down a zero and append it as well.
Continue this process until you either reach the desired level of accuracy or a repeating pattern emerges (if it's a recurring decimal). However, in this case, the division stops here because we are only concerned with converting the mixed number to decimal form (as opposed to finding the exact decimal value).
Step 3: Write the decimal form.
The decimal equivalent of the fraction 97/15 is approximately 6.4.
Therefore, 6 7/15, when converted to a decimal, is approximately 6.4.
To convert 6 7/15 to a decimal using long division, follow these steps:
1. Write 6 7/15 as an improper fraction:
6 7/15 = (6 * 15 + 7) / 15 = 97/15
2. Perform long division by dividing the numerator (97) by the denominator (15):
6.4 6 7
_______
15 | 97
-90
---
7
3. Bring down the next digit (0) and continue dividing:
6.4 6 7
__________
15 | 97 0
- 90
-----
70
- 60
-----
10
4. The remainder (10) is less than the divisor (15), so you can add a decimal point and continue dividing by bringing down a zero:
6.4 6 7
__________
15 | 97 00
- 90
-----
70
- 60
-----
100
5. Continue dividing until you obtain the desired level of precision or until the decimal part repeats:
6.4 6 7 2 2
______________
15 | 97 00 0
- 90
-----
70
- 60
-----
100 0
- 90
-----
100 00
- 90
-----
1000
6. The final result is 6.467 with a line above the 7 indicating the 7 repeats indefinitely: 6.467¯¯
To convert 6 7/15 to a decimal using long division, follow these steps:
Step 1: Rewrite the mixed number as an improper fraction.
To convert the mixed number 6 7/15 to an improper fraction, multiply the whole number (6) by the denominator (15), then add the numerator (7). This gives us:
(6 * 15) + 7 = 97
So, 6 7/15 can be written as 97/15.
Step 2: Perform long division.
Divide 97 by 15 to get the decimal representation.
6.46... <-- Quotient (Answer so far)
__________
15 | 97.00
90 <-- Subtract 90 from 97 to get the remainder (7)
_______
70
60 <-- Bring down the 0 from the decimal
______
100
90 <-- Keep dividing until you have enough decimal places
______
100
90
______
100
90
______
100
90
______
The division repeats indefinitely with a remainder of 7.
Step 3: Write the decimal representation.
The decimal representation of 6 7/15 is approximately 6.4666... (the bar over 6 indicates that the 6 repeats indefinitely).