Question

1. $2\frac{2}{3}=LXB02\frac{2}{3}=$8. $1\frac{1}{2}=$$1\frac{1}{2}=$

Explanation:

Problem 6: Convert \( 2\frac{2}{3} \) to improper fraction

Step1: Recall mixed number to improper fraction formula

A mixed number \( a\frac{b}{c} \) (where \( a \) is the whole number, \( b \) is the numerator of the fraction, and \( c \) is the denominator) can be converted to an improper fraction using the formula: \( a\frac{b}{c}=\frac{a\times c + b}{c} \).

Step2: Apply the formula to \( 2\frac{2}{3} \)

Here, \( a = 2 \), \( b = 2 \), and \( c = 3 \). Substitute these values into the formula:
\( 2\frac{2}{3}=\frac{2\times3 + 2}{3} \)

Step3: Calculate the numerator

First, calculate \( 2\times3 + 2 \). \( 2\times3 = 6 \), and \( 6 + 2 = 8 \). So the improper fraction is \( \frac{8}{3} \).

Step1: Recall mixed number to improper fraction formula

Using the same formula for a mixed number \( a\frac{b}{c} \): \( a\frac{b}{c}=\frac{a\times c + b}{c} \).

Step2: Apply the formula to \( 1\frac{1}{2} \)

Here, \( a = 1 \), \( b = 1 \), and \( c = 2 \). Substitute these values into the formula:
\( 1\frac{1}{2}=\frac{1\times2 + 1}{2} \)

Step3: Calculate the numerator

First, calculate \( 1\times2 + 1 \). \( 1\times2 = 2 \), and \( 2 + 1 = 3 \). So the improper fraction is \( \frac{3}{2} \).

Answer:

\( \frac{8}{3} \)

Problem 8: Convert \( 1\frac{1}{2} \) to improper fraction