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Last updated on March 11th, 2025

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1 7/10 as a Decimal

Professor Greenline Explaining Math Concepts
Foundation
Intermediate
Advance Topics

This is a simple question on decimal conversion. Firstly, we must understand fractions and decimals. A fraction represents a part of a whole and has two parts: the numerator (the number on the top) and the denominator (the number below). In the fraction 7/10, 7 is the numerator, indicating how many parts of the whole are considered, and 10 is the denominator, showing how many parts make up a whole. A decimal represents 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 part, and those to the right represent the fractional part.

Professor Greenline from BrightChamps

What is 1 7/10 as a decimal?

1 7/10 as a decimal

 

Answer

 

1 7/10 in decimal can be written as 1.7. It is a terminating decimal, meaning it ends and does not repeat.

 

Explanation

 

To convert 1 7/10 to a decimal, we first convert the fractional part 7/10 into a decimal. Since the numerator is smaller than the denominator, we perform simple division.

 

Step 1: Identify the numerator and denominator. Here, the numerator (7) is the dividend, and the denominator (10) is the divisor.

 

Step 2: Divide 7 by 10. Since 7 is smaller than 10, using decimals will yield 0.7.

 

Step 3: Combine the whole number and the decimal conversion of the fraction. The whole number is 1, and the decimal form of 7/10 is 0.7.

 

Thus, the decimal representation of 1 7/10 is 1.7.

Professor Greenline from BrightChamps

Important Glossaries for 1 7/10 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.

 

  • 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.
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