Any-proof-or-Idea-about-4-2-16-3-4-2-3-16-

Question Number 158396 by zakirullah last updated on 03/Nov/21

A n y p r o o f o r I d e a a b o u t;

\frac{4}{2} \boldsymbol \div \frac{16}{3} = \frac{4}{2} \times \frac{3}{16}

Answered by MJS_new last updated on 03/Nov/21

{it}^{'} s just the definition

\frac{a}{b} \boldsymbol \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

a fraction is a division in brackets

\frac{a}{b} = (a \boldsymbol \div b); \frac{c}{d} = (c \boldsymbol \div d)

\frac{a}{b} \boldsymbol \div \frac{c}{d} = (a \boldsymbol \div b) \boldsymbol \div (c \boldsymbol \div d)

obviously b “ makes a {smaller}^{″} and c would

also . but first (brackets first!) d “ makes c

{smaller}^{″} \Rightarrow “ d helps a^{″}

\Rightarrow

(a \boldsymbol \div b) \boldsymbol \div (c \boldsymbol \div d) = a \boldsymbol \div b \boldsymbol \div c \times d = a \times d \boldsymbol \div b \boldsymbol \div c =

= a \times d \boldsymbol \div (b \times c) = \frac{a d}{b c} = \frac{a}{b} \times \frac{d}{c}

{it}^{'} s similar to

(a - b) - (b - c) = a - b - c + d = a + d - b - c =

= (a + d) - (b + c)

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