5 7/8 as a Decimal

Answer

5 7/8 in decimals can be written as 5.875. It is a terminating decimal, meaning it ends and does not repeat.

Explanation

To get 5 7/8 in decimal, we will convert the fractional part 7/8 into a decimal and then add it to the whole number 5. Here's the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (7) will be taken as the dividend and the denominator (8) will be taken as the divisor.

Step 2: Divide 7 by 8. Since 7 is less than 8, we will start with a decimal point and add zeros to complete the division.

Step 3: 7 divided by 8 gives 0.875. This is because 8 goes into 70 eight times (8 × 8 = 64), leaving a remainder of 6. Bring down another zero to make 60, divide by 8 gives 7 (8 × 7 = 56), leaving a remainder of 4. Bring down another zero to make 40, divide by 8 gives 5 (8 × 5 = 40), with no remainder.

Step 4: Add the decimal 0.875 to the whole number 5, giving us 5.875.

This process shows that 5 7/8 as a decimal is 5.875.

• 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.

• 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.

• Terminating Decimal: A decimal that ends and does not repeat infinitely. ```