Question

Caili mixed 5/8 kg of flour and 1/2 kg of sugar what was the mass of the mixture

David had 3 similar loaves of bread after making some sandwiches he had 2/3 of a loaf left how many loaves of bread did David use

Answer 1

To find the mass of the mixture that Caili made with flour and sugar, you can add the two quantities together:

Flour: \( \frac{5}{8} \) kg
Sugar: \( \frac{1}{2} \) kg

First, convert \( \frac{1}{2} \) kg to a fraction with a common denominator of 8:

\[
\frac{1}{2} = \frac{4}{8}
\]

Now, add the two quantities:

\[
\frac{5}{8} + \frac{4}{8} = \frac{9}{8} \text{ kg}
\]

So, the mass of the mixture is \( \frac{9}{8} \) kg, or 1.125 kg.

---

For David's bread:

He started with 3 loaves and has \( \frac{2}{3} \) of a loaf left. To find out how much he used, first determine how much he had left in terms of whole loaves:

1. Total loaves he had = 3 loaves
2. Remaining loaf = \( \frac{2}{3} \) of a loaf

Now, calculate the amount of bread he used:

\[
\text{Bread used} = \text{Total loaves} - \text{Remaining loaves} = 3 - \frac{2}{3}
\]

To perform the subtraction, convert 3 into a fraction with a common denominator of 3:

\[
3 = \frac{9}{3}
\]

Now perform the calculation:

\[
\frac{9}{3} - \frac{2}{3} = \frac{7}{3} \text{ loaves}
\]

Thus, David used \( \frac{7}{3} \) loaves of bread, which is approximately 2.33 loaves.