Questions: Convert to a Mixed number and be sure to reduce the fraction part 58/4.

$Convert to a Mixed number and be sure to reduce the fraction part 58/4.$

Transcript text: 5) Convert to a Mixed number and be sure to reduce the fraction part $\frac{58}{4}$

Solution

Solution Steps

To convert an improper fraction to a mixed number, divide the numerator by the denominator to get the whole number part. The remainder becomes the numerator of the fractional part, with the original denominator. Simplify the fraction if possible.

Step 1: Convert Improper Fraction to Mixed Number

To convert the improper fraction $ \frac{58}{4} $ to a mixed number, we first divide the numerator by the denominator.

Step 2: Calculate Whole Number Part

Calculating $ 58 \div 4 $ gives us a whole number part of $ 14 $ since $ 4 \times 14 = 56 $.

Step 3: Calculate Remainder

Next, we find the remainder of the division: \[ 58 - 56 = 2 \] Thus, the remainder is $ 2 $.

Step 4: Form the Fractional Part

The fractional part is formed using the remainder over the original denominator: \[ \frac{2}{4} \] This fraction can be simplified to $ \frac{1}{2} $.

Step 5: Combine Whole Number and Fractional Part

Combining the whole number and the simplified fractional part, we have: \[ 14 \frac{1}{2} \]