4. Themba's mother used [tex]2 \frac{3}{6}[/tex] loaves of bread to make sandwiches for a family lunch. His aunt used [tex]\frac{5}{6}[/tex] of a loaf to make more sandwiches. How much bread was used altogether?



Answer :

To determine how much bread was used altogether, let's break down the problem into smaller steps.

1. Convert mixed number to an improper fraction (for Themba's mother):
Themba's mother used [tex]\(2 \frac{3}{6}\)[/tex] loaves of bread.

We first convert the mixed number to a decimal:
[tex]\[ 2 \frac{3}{6} = 2 + \frac{3}{6} \][/tex]
Simplify the fraction:
[tex]\[ \frac{3}{6} = 0.5 \][/tex]
So, the total bread used by Themba's mother in decimal form is:
[tex]\[ 2 + 0.5 = 2.5 \text{ loaves} \][/tex]

2. Convert fraction to decimal (for the aunt):
Themba's aunt used [tex]\(\frac{5}{6}\)[/tex] of a loaf.

Converting this fraction to a decimal:
[tex]\[ \frac{5}{6} \approx 0.8333333333333334 \][/tex]

3. Calculate the total bread used:
To find the total amount of bread used by both Themba's mother and his aunt, we add the two quantities together:
[tex]\[ 2.5 \text{ loaves} + 0.8333333333333334 \text{ loaves} = 3.3333333333333335 \text{ loaves} \][/tex]

Therefore, the total amount of bread used altogether is approximately [tex]\(3.3333333333333335\)[/tex] loaves.