7 5/8 as a Decimal

Answer

7 5/8 in decimals can be written as 7.625.

Explanation

To convert 7 5/8 to a decimal, we first convert the fraction part 5/8 into a decimal.

Step 1: Identify the numerator and denominator of the fraction part. Here, the numerator (5) will be the dividend, and the denominator (8) will be the divisor.

Step 2: Divide 5 by 8.

Step 3: Since 5 is smaller than 8, we add a decimal point and a zero to the dividend, making it 50.

Step 4: 8 goes into 50 six times since 8 × 6 = 48. Write 6 in the quotient and subtract 48 from 50 to get 2.

Step 5: Bring down another 0, making it 20.

Step 6: 8 goes into 20 two times since 8 × 2 = 16. Write 2 in the quotient and subtract 16 from 20 to get 4.

Step 7: Bring down another 0, making it 40.

Step 8: 8 goes into 40 five times since 8 × 5 = 40. Write 5 in the quotient, giving no remainder.

Step 9: The decimal for 5/8 is therefore 0.625. Combine it with the whole number 7 to get 7.625.

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

• Decimal: A number that uses 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.

• Mixed Number: A whole number combined with a fraction, such as 7 5/8.