Answer:
Let's go through each multiplication:
i) \( \frac{2}{7} \times \frac{6}{2} \)
First, multiply the numerators: \( 2 \times 6 = 12 \)
Then, multiply the denominators: \( 7 \times 2 = 14 \)
The result is \( \frac{12}{14} \)
Now, reduce to lowest terms by dividing both numerator and denominator by their greatest common divisor, which is 2:
\( \frac{12}{14} = \frac{6}{7} \)
Now, let's convert to a mixed fraction:
\( \frac{6}{7} \) as a mixed fraction is \( 0 \frac{6}{7} \)
ii) \( \frac{11}{7} \times \frac{4}{11} \)
First, multiply the numerators: \( 11 \times 4 = 44 \)
Then, multiply the denominators: \( 7 \times 11 = 77 \)
The result is \( \frac{44}{77} \)
Now, reduce to lowest terms by dividing both numerator and denominator by their greatest common divisor, which is 11:
\( \frac{44}{77} = \frac{4}{7} \)
Now, let's convert to a mixed fraction:
\( \frac{4}{7} \) as a mixed fraction is \( 0 \frac{4}{7} \)
iii) \( \frac{13}{3} \times \frac{1}{1} \)
First, multiply the numerators: \( 13 \times 1 = 13 \)
Then, multiply the denominators: \( 3 \times 1 = 3 \)
The result is \( \frac{13}{3} \)
This fraction is already in its simplest form.
Now, let's convert to a mixed fraction:
\( \frac{13}{3} \) as a mixed fraction is \( 4 \frac{1}{3} \)
please mark me as brainliest
Sure, let's solve each expression step by step:
i) [tex]2 \times \frac{6}{7}[/tex]
To multiply, we simply multiply the numerators and denominators separately:
[tex]2 \times \frac{6}{7} = \frac{2 \times 6}{1 \times 7} = \frac{12}{7}[/tex]
To convert it into a mixed fraction, we divide the numerator by the denominator:
[tex]12 \div 7 = 1 \frac{5}{7}[/tex]
So, [tex]2 \times \frac{6}{7} = 1 \frac{5}{7}[/tex].
ii) [tex]11 \times \frac{4}{7}[/tex]
Similarly, multiply the numerators and denominators:
[tex]11 \times \frac{4}{7} = \frac{11 \times 4}{1 \times 7} = \frac{44}{7}[/tex]
Convert it into a mixed fraction:
[tex]44 \div 7 = 6 \frac{2}{7}[/tex]
So, [tex]11 \times \frac{4}{7} = 6 \frac{2}{7}[/tex].
iii) [tex]13 \times \frac{1}{3}[/tex]
Again, multiply the numerators and denominators:
[tex]13 \times \frac{1}{3} = \frac{13 \times 1}{1 \times 3} = \frac{13}{3}[/tex]
Convert it into a mixed fraction:
[tex]13 \div 3 = 4 \frac{1}{3}[/tex]
So, [tex]13 \times \frac{1}{3} = 4 \frac{1}{3}[/tex].
