5 3/8 as a Decimal

Answer

5 3/8 as a decimal can be written as 5.375. It is a terminating decimal, meaning it does not repeat but ends after a few digits.

Explanation

To convert 5 3/8 to a decimal, we will first convert the fraction 3/8 into a decimal. Let's use the division method to do this:

Step 1: Identify the numerator (3) and the denominator (8).

Step 2: Divide 3 by 8 using long division.

Step 3: Since 3 is smaller than 8, we add a decimal point to the quotient and a zero to the dividend, making it 30.

Step 4: Determine how many times 8 goes into 30. It goes 3 times (8 x 3 = 24). Write 3 in the quotient.

Step 5: Subtract 24 from 30, which leaves us with 6. Bring down another 0, making it 60.

Step 6: 8 goes into 60 seven times (8 x 7 = 56). Write 7 in the quotient.

Step 7: Subtract 56 from 60, which leaves us with 4. Bring down another 0, making it 40.

Step 8: 8 goes into 40 five times (8 x 5 = 40), leaving no remainder. Write 5 in the quotient. Now, 3/8 as a decimal is 0.375. To find 5 3/8 as a decimal, simply add the whole number part: 5 + 0.375 = 5.375.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.

• Mixed Number: A number consisting of a whole number and a fraction.

• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.

• Denominator: The bottom part of a fraction, showing how many parts make up a whole.