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I can write a mixed fraction AND convert it to an improper fraction.



2) I can convert a terminating decimal to a fraction. Ex. 0.12 = `\frac{3}{25}`

1 answer

Great! Let’s go over how to do both of those tasks step by step.

1) Mixed Fraction to Improper Fraction

A mixed fraction (or mixed number) has a whole number part and a fractional part. For example, \(2 \frac{3}{4}\).

To convert a mixed fraction to an improper fraction:

  1. Multiply the whole number by the denominator of the fraction.
  2. Add the numerator of the fraction to the result from step 1.
  3. Put that sum over the original denominator.

Example: Convert \(2 \frac{3}{4}\) to an improper fraction:

  1. Multiply the whole number (2) by the denominator (4): \(2 \times 4 = 8\)
  2. Add the numerator (3): \(8 + 3 = 11\)
  3. Write it over the original denominator: \(\frac{11}{4}\)

So, \(2 \frac{3}{4} = \frac{11}{4}\).

2) Converting a Terminating Decimal to a Fraction

To convert a terminating decimal to a fraction, you can follow these steps:

  1. Write the decimal as a fraction with the decimal number as the numerator and a power of 10 as the denominator (depending on how many decimal places there are).
  2. Simplify the fraction if necessary.

Example: Convert \(0.12\) to a fraction:

  1. Write the decimal as a fraction: \(\frac{12}{100}\) (since there are 2 decimal places, the denominator is \(10^2 = 100\)).
  2. Simplify the fraction: \(\frac{12 \div 4}{100 \div 4} = \frac{3}{25}\)

So, \(0.12\) as a fraction is \(\frac{3}{25}\).

If you have any specific mixed fractions or decimals you're working with, feel free to share, and I can help you convert them!