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117 LearnersLast updated on March 4th, 2025
7 7/8 as a Decimal
Converting mixed numbers to decimals involves understanding both fractions and decimals. A mixed number like 7 7/8 combines a whole number with a fraction. The fraction 7/8 has a numerator (7) and a denominator (8), indicating parts of a whole. A decimal is a way to represent a number that is not whole, using a decimal point to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole number, and those to the right represent the fractional part.
What is 7 7/8 as a decimal?
Answer
7 7/8 as a decimal can be written as 7.875. The fraction part is a terminating decimal, which means it does not repeat infinitely.
Explanation
To convert 7 7/8 to a decimal, follow these steps:
Step 1: Identify the whole number (7) and the fraction (7/8).
Step 2: Convert the fraction 7/8 into a decimal by dividing 7 by 8.
Step 3: Perform the division: 7 divided by 8 equals 0.875.
Step 4: Combine the whole number with the decimal: 7 + 0.875 = 7.875. Therefore, 7 7/8 as a decimal is 7.875.
Important Glossaries for 7 7/8 as a decimal
- Mixed Number: A number consisting of a whole number and a fraction.
- Fraction: A numerical quantity not representing a whole number, indicating parts of a whole.
- Decimal: A number expressed in the base ten system, including a decimal point to separate whole and fractional parts.
- 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.
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