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105 LearnersLast updated on March 13th, 2025
7 2/5 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top) here, 2 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 5. 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 7 2/5 as a decimal?
Answer
7 2/5 in decimals can be written as 7.4. It is a terminating decimal, meaning it does not repeat indefinitely.
Explanation
To convert 7 2/5 to a decimal, we will first convert the fraction 2/5 to a decimal using the division method.
Step 1: Identify the numerator and denominator because the numerator (2) will be taken as the dividend and the denominator (5) will be taken as the divisor.
Step 2: Since 2 is smaller than 5, we will use the decimal method. We add 0 to the dividend to make it 20 and add a decimal point in the quotient place.
Step 3: Now, divide 20 by 5. 5 goes into 20 exactly 4 times.
Step 4: The quotient is 0.4.
Step 5: Combine the whole number 7 with the decimal 0.4 to get 7.4.
The answer for 7 2/5 as a decimal is 7.4.
Important Glossaries for 7 2/5 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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