What is the fraction for 2.3125 in improper fraction form?

Answer: The answer is 2 16 5 ​ .
Step-by-step explanation: Step 1. Let's rewrite the decimal number as a fraction with 1 in the denominator: 1 2.3125 ​ .
Step 2. Multiply to remove 4 decimal places. Here, you multiply top and the bottom by 10⁴=10000: 1 2.3125 ​ ∗ 10000 10000 ​ = 10000 23125 ​ .
Step 3. You find the Greatest Common Factor of 23125 and 10000, or if it exists, and reduce the fraction by dividing both numerator and denominator by the GCF=625: Numerator: 23125÷625=37
Denominator: 10000÷625=16.
Last but not least is step 4. Simplify the improper fraction: 2 16 5 ​ . Now in conclusion: 2.3125= 2 16 5 ​ . I hoped this step-by-step explanation will be helpful! Can you give me brainliest? I will be appreciated! :D

Answered by Anonymous | 2024-06-14

The fraction equivalent of 2.3125 in improper fraction form is 165/80.
We have,
To convert the decimal 2.3125 into an improper fraction , follow these steps:

Identify the whole number part:

In this case, the whole number part is 2.

Determine the fractional part:

The fractional part is the decimal part of the number. In this case, the decimal part is 0.3125.

Convert the decimal part to a fraction :

To convert the decimal 0.3125 to a fraction, count the number of decimal places, which is four.
Then, write the decimal part over a denominator of 10 raised to the power of the number of decimal places.
0.3125 = 3125/10,000

Combine the whole number part and the fractional part:

Add the whole number part to the fraction obtained in step 3.
= 2 + 3125/10,000

Simplify the fraction if possible:

In this case, the fraction 3125/10,000 can be simplified by dividing both the numerator and denominator by 125, which is the greatest common divisor.
= 2 + 3125/10,000
= 2 + (3125 ÷ 125) / (10,000 ÷ 125)
= 2 + 25/80

Convert the mixed number to an improper fraction :

Multiply the whole number part by the denominator of the fraction and add the numerator.
Place the result over the denominator.
= 2 + 25/80
= (2 x 80 + 25) / 80
= 165/80
Thus,
The fraction equivalent of 2.3125 in improper fraction form is 165/80.
Learn more about fractions here:
https://brainly.com/question/24370499
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Answered by swapnalimalwadeVT | 2024-06-17

The improper fraction equivalent of the decimal number 2.3125 is 80 185 ​ . This conversion involves identifying the whole number and fractional parts, simplifying the fractional part, and then combining them. The steps lead to the final result through basic fraction operations.
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Answered by swapnalimalwadeVT | 2024-10-09