Question

Shivani dyes dresses. She had to dye 40 dresses. She has so far finished 30 dresses. What fraction of dresses has she finished​

Answer 1

Answer:

3/4

Step-by-step explanation:

Shivani had dyed 30 out of 40 dresses.

Fraction = 30/40

Then do prime factorisation

So 30/40 becomes 3/4

Pls mark as brainliest answer.

Answer 2

Solution:

No. of dresses that has to be dyed = 40 dresses

No. of dresses dyed by Shivani = 30 dresses

Fraction of dresses that has been completed dying by Shivani = $\sf{\dfrac{30}{40}}$

We can simplify this fraction by dividing both the numerator and denominator by 10. Hence the fraction we get =

$\sf{\dfrac{3}{4}}$

Therefore, Shivani dyed 3/4 of the total dresses [75%]

Knowledge Bytes:

→ Fractions

Fractions are equal parts of a whole.

$\setlength{\unitlength}{1mm}\begin{picture}(50,55)\linethickness{0.4mm}\qbezier(45,30)(45,30)(5,30)\qbezier(25.000,10.000)(33.284,10.000)(39.142,15.858)\qbezier(39.142,15.858)(45.000,21.716)(45.000,30.000)\qbezier(45.000,30.000)(45.000,38.284)(39.142,44.142)\qbezier(39.142,44.142)(33.284,50.000)(25.000,50.000)\qbezier(25.000,50.000)(16.716,50.000)(10.858,44.142)\qbezier(10.858,44.142)( 5.000,38.284)( 5.000,30.000)\qbezier( 5.000,30.000)( 5.000,21.716)(10.858,15.858)\qbezier(10.858,15.858)(16.716,10.000)(25.000,10.000)\multiput(5,30)(20,0){3}{\circle*{1}}\end{picture}$

Consider this circle as a cake. It is divided into two equal parts by cutting from its middle. So each part formed is 1/2 of the cake.

1/2 + 1/2 = 2/2 = 1

→ Components of a Fraction

✳ Numerator

The upper part of the fraction which denotes the parts is known as numerator.

✳ Denominator

The lower part of the fraction which denotes the complete object that is being divided is the denominator.

3/4 - 3 is the numerator and 4 is the denominator.

→ Understanding the meaning

When we say 3/4, it means 3 parts out of the total 4 equal parts.