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3) \( 2+4 \frac{3}{4}= \)

Ask by Sherman Reeves. in Chile
Mar 11,2025

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Tutor-Verified Answer

Answer

La respuesta es \(6\frac{3}{4}\) o \(6.75\).

Solution

Calculate or simplify the expression \( 2+4\frac{3}{4} \). Calculate the value by following steps: - step0: Calculate: \(2+4\frac{3}{4}\) - step1: Convert the expressions: \(2+\frac{19}{4}\) - step2: Reduce fractions to a common denominator: \(\frac{2\times 4}{4}+\frac{19}{4}\) - step3: Transform the expression: \(\frac{2\times 4+19}{4}\) - step4: Multiply the numbers: \(\frac{8+19}{4}\) - step5: Add the numbers: \(\frac{27}{4}\) La suma de \(2+4\frac{3}{4}\) es igual a \(6\frac{3}{4}\) o \(6.75\).

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To solve \(2 + 4 \frac{3}{4}\), first convert the mixed number into an improper fraction. This gives us \(4 \frac{3}{4} = 4 + \frac{3}{4} = \frac{16}{4} + \frac{3}{4} = \frac{19}{4}\). Now add it to 2, which can be expressed as \(\frac{8}{4}\) (since \(2 = \frac{8}{4}\)). So we have: \[ 2 + 4 \frac{3}{4} = \frac{8}{4} + \frac{19}{4} = \frac{27}{4}. \] The answer is \(\frac{27}{4}\) or \(6 \frac{3}{4}\) when expressed as a mixed number! Adding fractions and converting between mixed and improper forms can really spice up math problems! Just remember: when adding mixed numbers, converting them to improper fractions simplifies the calculations a lot. If you're ever confused about fractions, just grab some slices of pizza or cake (yum!), and think of each slice as a fraction. Using real-world objects can make learning fractions far more tangible and way more delicious!

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