Work out
\( \frac{1}{2} \times \frac{3}{5} \)
Give your answer as a mixed number in its simplest form. - Edexcel - GCSE Maths - Question 10 - 2019 - Paper 1
Question 10
Work out
\( \frac{1}{2} \times \frac{3}{5} \)
Give your answer as a mixed number in its simplest form.
Worked Solution & Example Answer:Work out
\( \frac{1}{2} \times \frac{3}{5} \)
Give your answer as a mixed number in its simplest form. - Edexcel - GCSE Maths - Question 10 - 2019 - Paper 1
Step 1
Convert to Improper Fractions
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
The first step is ensuring all fractions are proper. In this case, both ( \frac{1}{2} ) and ( \frac{3}{5} ) are already proper fractions.
Step 2
Multiply the Fractions
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
To multiply the fractions, we can use the formula: ( \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d} ). Thus, the multiplication is:
[ \frac{1}{2} \times \frac{3}{5} = \frac{1 \times 3}{2 \times 5} = \frac{3}{10} ]
Step 3
Convert to Mixed Number
96%
101 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
The resulting fraction ( \frac{3}{10} ) is already in its simplest form and is less than 1, so it does not convert to a mixed number. Thus, the answer remains ( \frac{3}{10} ).
