Pregunta
d. Convert the following improper fraction into a mixed number. Simplify your answer to its lowest terms. \( -\frac{22}{5}= \) Enter any negative signs in the whole number part of the mixed number
Ask by Alexander Montgomery. in Canada
Mar 10,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\(-4\frac{2}{5}\)
Solución
1. Express the fraction:
\[
-\frac{22}{5}
\]
2. Divide the numerator by the denominator (ignoring the negative sign for now):
\[
22 \div 5 = 4 \text{ remainder } 2
\]
This means
\[
\frac{22}{5} = 4\frac{2}{5}
\]
3. Reintroduce the negative sign to the whole number part:
\[
-\frac{22}{5} = -4\frac{2}{5}
\]
Thus, the simplified mixed number form is:
\[
-4\frac{2}{5}
\]
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Simplifique esta solución The Deep Dive
To convert the improper fraction \(-\frac{22}{5}\) into a mixed number, divide 22 by 5. This gives you 4 as the whole number (since \(5 \times 4 = 20\)), with a remainder of 2. Therefore, the mixed number is \(-4 \frac{2}{5}\). Don’t forget to keep the negative sign with the whole number! Mixed numbers can often appear in recipes, construction plans, and other everyday scenarios. Knowing how to convert improper fractions to mixed numbers can help avoid confusion when measuring or dividing items. So, whether you’re baking a cake or building a bookshelf, this skill comes in handy to make everything more digestible and understandable!
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