javerch11
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What is the fraction for 2.3125? Improper fraction form

Sagot :

Lilith
[tex]2.3125 = 2 \ \frac{3125}{1000}=2 \ \frac{3125:625}{1000:625}= 2 \ \frac{5}{16} \\ \\[/tex]

Answer: The answer is [tex]2\frac{5}{16}[/tex].

Step-by-step explanation: Step 1. Let's rewrite the decimal number as a fraction with 1 in the denominator: [tex]\frac{2.3125}{1}[/tex].

Step 2. Multiply to remove 4 decimal places. Here, you multiply top and the bottom by 10⁴=10000: [tex]\frac{2.3125}{1}*\frac{10000}{10000}=\frac{23125}{10000}[/tex].

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: [tex]2\frac{5}{16}[/tex]. Now in conclusion: 2.3125=[tex]2\frac{5}{16}[/tex]. I hoped this step-by-step explanation will be helpful! Can you give me brainliest? I will be appreciated! :D

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