209 LearnersLast updated on March 4th, 2025
1 7/16 as a Decimal
It is a simple question on decimal conversion. Firstly, we must understand fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top) here, 1, and 7/16 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 16. A decimal is a way to represent a number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
What is 1 7/16 as a decimal?
Answer
1 7/16 in decimals can be written as 1.4375. It is a terminating decimal, meaning it ends after a certain number of digits.
Explanation
To convert 1 7/16 to a decimal, we use division and addition. Let's break it down step by step:
Step 1: Identify the mixed number, which consists of a whole number (1) and a fraction (7/16).
Step 2: Convert the fraction 7/16 to a decimal by dividing the numerator (7) by the denominator (16).
Step 3: Perform the division: 7 ÷ 16 = 0.4375.
Step 4: Add the whole number (1) to the decimal obtained from the fraction (0.4375).
Step 5: The result is 1 + 0.4375 = 1.4375. So, 1 7/16 as a decimal is 1.4375.
Important Glossaries for 1 7/16 as a decimal
- 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 an integer and a proper fraction.
- Terminating Decimal: A decimal that ends and does not repeat infinitely.
- Division: A mathematical operation where a number is divided by another number to get a quotient.
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