Math Tutor Explains: What is 58.12 as a fraction?

"Fractions can be expressed in different forms, including decimals and percentages, making it a valuable skill to convert between them quickly. A math tutor can help simplify this process, ensuring a strong understanding of number conversions. In this guide, we’ll walk you through how to convert 58.12 from a decimal to a fraction step by step."

Math Tutor's Solution: 58.12 as a fraction is 1453/25

Methods

Converting 58.12 to a fraction, Step-by-Step from a Math Tutor

Step 1:

The first step to converting 58.12 to a fraction is to re-write 58.12 in the form p/q where p and q both are positive integers. To start with, 58.12 can be written as simply 58.12/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 58.12, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 58.12/1 each by 10 to the power of that many digits. For instance, for 0.45, there are 2 fractional digits so we would multiply by 100; or for 0.324, since there are 3 fractional digits, we would multiply by 1000. So, in this case, we will multiply the numerator and denominator of 58.12/1 each by 100:

58.12×1001×100=5812100\frac{58.12 × 100}{1 × 100} = \frac{5812}{100}

Step 3:

Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:

5812100=145325\frac{5812}{100} = \frac{1453}{25}

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