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
