Convert the following fractions to decimals. Round to 2 decimal places if necessary.
1. 1/4
2. -3 7/16
3. 25/13
Divide the numerator by the denominator.
1/4 = 0.25
I'll be glad to check your answers for the other two fractions.
-3 7/16 = -41/16 = -2.56
25/13 = 1.92
2 is wrong.
3 is correct.
25
To convert fractions to decimals, you divide the numerator (top number) by the denominator (bottom number). Let's go through each fraction one by one:
1. To convert 1/4 to a decimal, divide 1 by 4:
- 1 ÷ 4 = 0.25
So, 1/4 as a decimal is 0.25.
2. To convert -3 7/16 to a decimal, you first need to convert the mixed number to an improper fraction. Multiply the whole number (-3 in this case) by the denominator (16) and add the numerator (7) to get the new numerator. The denominator remains the same:
- (-3) x 16 = -48
- -48 + 7 = -41
So, -3 7/16 can be written as -41/16.
Now, divide -41 by 16:
- -41 ÷ 16 ≈ -2.56 (rounded to 2 decimal places)
Therefore, -3 7/16 as a decimal is approximately -2.56.
3. To convert 25/13 to a decimal, divide 25 by 13:
- 25 ÷ 13 ≈ 1.92 (rounded to 2 decimal places)
So, 25/13 as a decimal is approximately 1.92.