Key to "What is the value of 514×49?"

Hazel Barnes

Answered question

2022-02-12

What is the value of

5 \frac{1}{4} \times \frac{4}{9}

Answer & Explanation

ashuhra6e

Beginner2022-02-13Added 15 answers

First change

5 \frac{1}{4}

into an improper fraction.

5 \frac{1}{4} = \frac{21}{4}

5 \frac{1}{2} \times \frac{4}{9} \to \frac{21}{4} \times \frac{4}{9}

Now lets

iluvyou23452nwj

Beginner2022-02-14Added 19 answers

$5 \frac{1}{4} \times \frac{4}{9}$ change to improper fractions
$= \frac{21}{4} \times \frac{4}{9}$
When multiplying fractions, it is usually easier to CANCEL a numerator with a denominator by using any COMMON FACTOR.
Remember $\frac{5}{5} = 1, \frac{3}{3} = 1 \frac{6}{6} = 1$ etc
This has the effect of giving us smaller numbers to work with, and if done completely there is no further simplifying necessary after we multiply.
However, cancelling may ONLY be done across/through a multiplication sign.
$= \frac{21}{⧸ 4^{1}} \times \frac{⧸ 4^{1}}{9}$ divide by 4
$\frac{⧸ 21^{7}}{⧸ 4^{1}} \times \frac{⧸ 4^{1}}{⧸ 9^{3}}$ divide by 3
$= \frac{7 \times 1}{1 \times 3} = \frac{7}{3}$

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