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Brilliant_brown [7]
3 years ago
13

Write a multiplication equation and a division equation that can be used to answer how many 3/4's are in 2

Mathematics
1 answer:
Westkost [7]3 years ago
8 0

Given:

Two numbers \dfrac{3}{4} and 2.

To find:

How many \dfrac{3}{4}'s are in 2.

Solution:

Let x be number of \dfrac{3}{4}'s in 2.

\dfrac{3}{4}\times x=2

Divide both sides by \dfrac{3}{4}.

x=\dfrac{2}{\dfrac{3}{4}}

x=2\times \dfrac{4}{3}

x=\dfrac{8}{3}

Therefore, required multiplication equation is \dfrac{3}{4}\times x=2 and the required division equation is x=\dfrac{2}{\dfrac{3}{4}}.

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Step-by-step explanation:

First let us prove \Delta BDE \cong \Delta BFK by rule ASA (rule of congruence).

<u>Congruent side:</u>

\overline{BD} \cong \overline{BF} (Given)

<u>Congruent angles:</u>

1. By definition of perpendicular,

\angle{BFK} = 90 \textdegree \ (Since \ \overline{FK} \ is \ perpendicular \ to \ \overline{AB} \ (\overline{FK} \perp \overline{AB} =Given))

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