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3 years ago

Question 2 What is the quotient of 3/4 divided by 5/4

Mathematics

2 answers:

nevsk [136]3 years ago

8 0

Answer:

$\frac{3}{5}$

Step-by-step explanation:

Operations With Fractions

Evaluate the expression:

$\displaystyle \frac{\frac{3}{4}}{\frac{5}{4}}$

The division of fractions is can be done by multiplying the fraction on the numerator by the reciprocal of the fraction on the denominator:

$\displaystyle \frac{\frac{3}{4}}{\frac{5}{4}}=\frac{3}{4}\cdot\frac{4}{5}$

Simplifying:

$\displaystyle \frac{\frac{3}{4}}{\frac{5}{4}}=\frac{3}{5}$

Answer: $\frac{3}{5}$

docker41 [41]3 years ago

4 0

Answer:

3/5

Step-by-step explanation:

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2 years ago

parallelogram PQRS has PQ=RS=8 cm and diagonal QS= 10 cm. point F is on RS exactly 5 cm from S. let T be the intersection of PF

Doss [256]

Solution-

Given that,

In the parallelogram PQRS has PQ=RS=8 cm and diagonal QS= 10 cm.

Then considering ΔPQT and ΔSTF,

1- ∠FTS ≅ ∠PTQ ( ∵ These two are vertical angles)

2- ∠TFS ≅ ∠TPQ ( ∵ These two are alternate interior angles)

3- ∠TSF ≅ ∠TQP ( ∵ These two are also alternate interior angles)

If the corresponding angles of two triangles are congruent, then they are said to be similar and the corresponding sides are in proportion.

∴ ΔFTS ∼ ΔPTQ, so corresponding side lengths are in proportion.

$\Rightarrow \frac{PQ}{FS} =\frac{TQ}{TS} =\frac{TP}{TF}$

As QS = TQ + TS = 10 (given)

If TS is x, then TQ will be 10-x. Then putting these values in the equation

$\Rightarrow \frac{PQ}{FS} =\frac{TQ}{TS}$

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Answeration:

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