Use long division to convert 3 4/5
to a decimal
To convert the mixed number 3 4/5 to a decimal, you can use long division. Here's how:
Step 1: Rewrite the mixed number as an improper fraction.
3 4/5 is equal to (3 × 5 + 4) / 5 = 15/5 + 4/5 = 19/5.
Step 2: Perform long division: Divide the numerator (19) by the denominator (5).
3.8 (quotient)
______
5 | 19.0
- 15
______
40
- 40
______
0
Step 3: The long division process ends when the remainder becomes zero. So, the quotient is 3.8.
Therefore, 3 4/5 as a decimal is equal to 3.8.
Use long division to convert 1320
to a decimal.
To convert 1320 to a decimal using long division, follow the steps below:
Step 1: Set up the long division problem with 1320 as the dividend and 1 as the divisor:
_________
1 | 1320
Step 2: Start dividing by dividing the first digit of the dividend (1) by the divisor (1). The quotient of this division is 1.
1
_________
1 | 1320
Step 3: Multiply the divisor (1) by the quotient (1), and subtract the result from the first part of the dividend (1 - 1 = 0). Bring down the next digit from the dividend (3) to create a new partial dividend:
1
_________
1 | 1320
- 1
------
23
Step 4: Divide the new partial dividend (23) by the divisor (1). The quotient of this division is 23.
13
_________
1 | 1320
- 1
------
23
23
Step 5: Multiply the divisor (1) by the quotient (23), and subtract the result from the first part of the partial dividend (23 - 23 = 0). Bring down the next digit from the dividend (2) to create a new partial dividend:
13
_________
1 | 1320
- 1
------
23
23
------
20
Step 6: Divide the new partial dividend (20) by the divisor (1). The quotient of this division is 20.
132
_________
1 | 1320
- 1
------
23
23
------
20
20
Step 7: Multiply the divisor (1) by the quotient (20), and subtract the result from the first part of the partial dividend (20 - 20 = 0). There are no remaining digits to bring down.
1320
_________
1 | 1320
- 1
------
23
23
------
20
20
------
0
Step 8: Since we have reached a remainder of 0, the division is complete. The quotient of 1320 divided by 1 is 1320.
Therefore, 1320 as a decimal is equal to 1320.0.
To convert 3 4/5 to a decimal using long division, you can follow these steps:
Step 1: Convert the mixed number 3 4/5 into an improper fraction.
To do this, multiply the whole number (3) by the denominator (5), and then add the numerator (4). Write this as the new numerator over the original denominator.
3 * 5 = 15
15 + 4 = 19
So, the improper fraction equivalent of 3 4/5 is 19/5.
Step 2: Perform long division to divide the numerator (19) by the denominator (5).
Divide 19 by 5, and write the quotient above the division symbol and the remainder to the right.
5) 19.00
- 15
————
4
Since the quotient is an integer, we can add a decimal point and zeros to the quotient and proceed.
Step 3: Add a decimal point to the quotient and continue dividing.
Bring down a zero from the dividend (4) to the right of the decimal point, and divide it by the divisor (5). Write the quotient above the division symbol and the remainder to the right.
5) 19.00
- 15
————
40
- 40
————
0
The remainder is now zero, meaning there is no remainder left.
Step 4: Express the quotient as a decimal.
The quotient is 3.8
Therefore, 3 4/5 as a decimal is 3.8.
To convert a mixed number like 3 4/5 to a decimal using long division, follow these steps:
Step 1: Write down the mixed number.
3 4/5
Step 2: Convert the mixed number to an improper fraction.
Multiply the whole number by the denominator of the fraction and add the numerator.
The denominator remains the same.
3 * 5 = 15 + 4 = 19
The improper fraction is 19/5.
Step 3: Perform long division.
Divide the numerator (19) by the denominator (5).
19 ÷ 5 = 3 remainder 4
Step 4: Write down the quotient and remainder as a fraction.
The quotient is the whole number part of the decimal.
The remainder goes over the original denominator.
Quotient: 3
Remainder: 4
Fraction: 4/5
Step 5: Convert the fraction part to a decimal.
Divide the numerator by the denominator.
4 ÷ 5 = 0.8
Step 6: Add the decimal part to the whole number part.
Add the whole number (3) to the decimal (0.8).
3 + 0.8 = 3.8
Therefore, the decimal representation of 3 4/5 is 3.8.