Question
Mrs Lee had 3/10 of cake and Mrs chua had 1/4 of similar cake how much more did Mrs Lee have than mrs chua express as mixed numbers
Answers
GPT-4o mini
To find out how much more cake Mrs. Lee had than Mrs. Chua, we first need to compare the two fractions: \( \frac{3}{10} \) and \( \frac{1}{4} \). To do this, we can find a common denominator.
The least common multiple (LCM) of 10 and 4 is 20.
Now we convert both fractions to have this common denominator:
1. For Mrs. Lee's cake:
\[
\frac{3}{10} = \frac{3 \times 2}{10 \times 2} = \frac{6}{20}
\]
2. For Mrs. Chua's cake:
\[
\frac{1}{4} = \frac{1 \times 5}{4 \times 5} = \frac{5}{20}
\]
Next, we find the difference between the two fractions:
\[
\frac{6}{20} - \frac{5}{20} = \frac{6 - 5}{20} = \frac{1}{20}
\]
Now we need to express \( \frac{1}{20} \) as a mixed number. Since it is less than 1, we cannot create a whole number from it. Thus, \( \frac{1}{20} \) is already in its simplest form.
In conclusion, Mrs. Lee had \( \frac{1}{20} \) more cake than Mrs. Chua.
The least common multiple (LCM) of 10 and 4 is 20.
Now we convert both fractions to have this common denominator:
1. For Mrs. Lee's cake:
\[
\frac{3}{10} = \frac{3 \times 2}{10 \times 2} = \frac{6}{20}
\]
2. For Mrs. Chua's cake:
\[
\frac{1}{4} = \frac{1 \times 5}{4 \times 5} = \frac{5}{20}
\]
Next, we find the difference between the two fractions:
\[
\frac{6}{20} - \frac{5}{20} = \frac{6 - 5}{20} = \frac{1}{20}
\]
Now we need to express \( \frac{1}{20} \) as a mixed number. Since it is less than 1, we cannot create a whole number from it. Thus, \( \frac{1}{20} \) is already in its simplest form.
In conclusion, Mrs. Lee had \( \frac{1}{20} \) more cake than Mrs. Chua.