2 and 7/16 to a decimal using long devison
To convert 2 and 7/16 to a decimal using long division, follow these steps:
Step 1: Start by dividing the numerator (7) by the denominator (16):
7 ÷ 16 = 0.4375
Step 2: Now, add the whole number (2) to the result obtained in step 1:
2 + 0.4375 = 2.4375
Therefore, 2 and 7/16 can be written as a decimal as 2.4375.
To convert the mixed number 2 and 7/16 to a decimal using long division, follow these steps:
Step 1: Rewrite the mixed number as an improper fraction.
2 and 7/16 can be written as (2 × 16 + 7)/16 = 39/16.
Step 2: Perform long division by dividing the numerator (39) by the denominator (16) as follows:
___2.
16 | 39
32
-----
7
Step 3: The result is the whole number part of the mixed number, which is 2.
Step 4: Write down a decimal point and the result of the division, which is 2.
Step 5: The remainder, 7, becomes the new numerator.
Step 6: Bring down a zero after the remainder to continue the division.
Step 7: Divide the new numerator (70) by the denominator (16) as follows:
___2.4
16 | 70
64
-----
6
Step 8: The result is the decimal part of the mixed number, which is 4/16. Simplify it to the lowest terms: 4/16 = 1/4.
Step 9: Combine the whole number and the decimal part:
2 + 0.24 = 2.24
Therefore, 2 and 7/16 as a decimal using long division is 2.24.
To convert the mixed number 2 and 7/16 to a decimal using long division, follow these steps:
Step 1: Convert the whole number to a fraction by placing it over the denominator of 1. In this case, 2 becomes 2/1.
Step 2: Add the fraction from step 1 to the given fraction. In this case, add 2/1 and 7/16.
2/1 + 7/16 = (32/16) + (7/16) = 39/16
Step 3: Perform the long division by dividing the numerator (39) by the denominator (16).
2.4375
________
16 | 39.0000
-32
________
7
- 0
________
70
- 64
_______
6
Step 4: Continue dividing until you either reach the desired level of decimal places or the division terminates. In this case, the division terminates after one decimal place.
Step 5: The resulting quotient is the decimal equivalent of the mixed number.
Therefore, 2 and 7/16 is equal to 2.4375 when expressed as a decimal.