3/8 as a decimal
A) 1.375
B) 2.375
C) 0.375
D) 3.75
The correct answer and explanation is:
The correct answer is C) 0.375.
To convert a fraction into a decimal, you divide the numerator by the denominator. In this case, the fraction is 3/8. To perform the division:
- Divide 3 by 8: 3÷8=0.3753 ÷ 8 = 0.375
This is a simple division problem. Since 3 is smaller than 8, the result will be less than 1. The number 3 is placed in the numerator, and 8 is the denominator, so we can interpret it as dividing 3 into 8 equal parts. The decimal form of 3/8 gives 0.375.
The decimal value of 3/8 can also be verified by converting it back into a fraction. If you multiply 0.375 by 8, you should get 3: 0.375×8=30.375 × 8 = 3
This confirms that 3/8 is equivalent to 0.375 in decimal form.
Understanding this process of conversion is important because fractions and decimals are just different ways of representing the same value. Fractions express part of a whole, while decimals represent the same concept but in base-10 form, which is often easier to use in calculations or applications requiring precision, like in financial transactions.
The other options listed do not correspond to the decimal form of 3/8:
- A) 1.375 is greater than 1.
- B) 2.375 is also larger than 1.
- D) 3.75 is much larger than 3/8.
Thus, the correct decimal for 3/8 is 0.375.