use long division to convert three4/ five to a decimal
To convert 3 4/5 to a decimal using long division, follow these steps:
Step 1: Rewrite the mixed number as an improper fraction.
3 4/5 can be rewritten as (3*5 + 4)/5 = 19/5.
Step 2: Perform long division by dividing the numerator (19) by the denominator (5).
3.8
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5|19.00
15
----
40
40
---
0
Step 3: The quotient is 3.8. Thus, 3 4/5 is equal to 3.8 in decimal form.
To convert a fraction to a decimal using long division, follow these steps:
Step 1: Write down the fraction as a division problem, with the numerator as the dividend and the denominator as the divisor.
3/5 (dividend/divisor)
Step 2: Set up the long division, starting with the integer part of the result.
0.
¯
Step 3: Perform the division. Divide the numerator by the denominator and record the quotient. Place the quotient above the division line.
0.6
¯
5|3
Step 4: Multiply the quotient by the denominator (5) and subtract the result from the numerator (3).
0.6
¯
5|3 - 0
¯
30
Step 5: Bring down the next digit, which is 4, and place it after the remaining value (30).
0.6
¯
5|3 - 0
¯
304
Step 6: Repeat the process. Divide the new number (304) by the denominator (5) and record the new quotient.
0.64
¯
5|3 - 0
¯
304 - 30
¯
44
Step 7: Repeat step 4, subtracting the product of the quotient and the denominator from the new number.
0.64
¯
5|3 - 0
¯
304 - 30
¯
44 - 40
¯
4
Step 8: Bring down any remaining digits (if any) and continue the process until you reach the desired level of accuracy.
0.64
¯
5|3 - 0
¯
304 - 30
¯
44 - 40
¯
40
¯
0
Step 9: As there are no more digits to bring down, the division is completed. The quotient (0.64) is the decimal equivalent of the fraction 3/5.
Therefore, converting 3/5 to a decimal using long division, we get 0.6.