Use long division to convert 3 3/8 to a decimal
To convert 3 3/8 to a decimal using long division, you can follow these steps:
1. Write down the whole number part. In this case, the whole number is 3.
- 3
2. Convert the mixed fraction part to an improper fraction. Multiply the whole number (3) by the denominator of the fraction (8), and then add the numerator (3) to get the new numerator.
- 3 * 8 = 24
- 24 + 3 = 27
3. Write the improper fraction (27/8) next to the whole number.
- 3 27/8
4. Perform long division by dividing the numerator (27) by the denominator (8). Write the quotient (the answer) above the fraction line and write the remainder below the line.
- 8|27
- 24
----
3
5. Since the remainder is 3, you can write it as a fraction over the denominator:
- 3/8
6. Add the quotient (3) to the whole number (3), and combine it with the fraction (3/8):
- 3 + 3/8
7. Finally, the decimal equivalent of 3 3/8 is found by dividing the numerator (27) by the denominator (8):
- 3 + 3/8 = 3.375
Therefore, 3 3/8 is equal to 3.375 as a decimal.
4 1/5 to a decimal
To convert 4 1/5 to a decimal using long division, you can follow these steps:
1. Write down the whole number part. In this case, the whole number is 4.
- 4
2. Convert the mixed fraction part to an improper fraction. Multiply the whole number (4) by the denominator of the fraction (5), and then add the numerator (1) to get the new numerator.
- 4 * 5 = 20
- 20 + 1 = 21
3. Write the improper fraction (21/5) next to the whole number.
- 4 21/5
4. Perform long division by dividing the numerator (21) by the denominator (5). Write the quotient (the answer) above the fraction line and write the remainder below the line.
- 5|21
- 20
----
1
5. Since the remainder is 1, you can write it as a fraction over the denominator:
- 1/5
6. Add the quotient (4) to the whole number (4), and combine it with the fraction (1/5):
- 4 + 1/5
7. Finally, the decimal equivalent of 4 1/5 is found by dividing the numerator (21) by the denominator (5):
- 4 + 1/5 = 4.2
Therefore, 4 1/5 is equal to 4.2 as a decimal.
oops i meant 4/15 to a decima
To convert 4/15 to a decimal, you can divide the numerator (4) by the denominator (15). Here are the steps:
1. Divide 4 by 15:
- 4 ÷ 15 = 0.2666666...
2. The result is a repeating decimal. If you want to round the decimal to a certain number of decimal places, you can stop at a certain point. For example, if you want to round to three decimal places, the rounded decimal would be 0.267.
Therefore, 4/15 is approximately equal to 0.267 as a decimal (rounded to three decimal places).
7/11 to a decimal
To convert 7/11 to a decimal, you can divide the numerator (7) by the denominator (11). Here are the steps:
1. Divide 7 by 11:
- 7 ÷ 11 = 0.6363636...
2. The result is a repeating decimal. If you want to round the decimal to a certain number of decimal places, you can stop at a certain point. For example, if you want to round to three decimal places, the rounded decimal would be 0.636.
Therefore, 7/11 is approximately equal to 0.636 as a decimal (rounded to three decimal places).
5 /16 to a decimal.
To convert 5/16 to a decimal, you can divide the numerator (5) by the denominator (16). Here are the steps:
1. Divide 5 by 16:
- 5 ÷ 16 = 0.3125
2. The result is a terminating decimal, which means it does not repeat or go on forever.
Therefore, 5/16 is equal to 0.3125 as a decimal.