choose the correct option and give reason for why is it equals to?
3/3 is equal to=?
a) 1 whole
b) half
c) quarter
d) 2 whole
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Answers
Answer:
Step-by-step explanation:We know, a fraction means a part. So, fraction is the part of a whole object.
Thus, a fraction is the part of a collection or collections of objects.
A fraction is a part of a whole number say 1, 2, 3, 4, ……. 150 ……. etc.
Thus, a number which is not a whole number is known as a fractional number.
For example; 1/2, 1/3, 2/3, 3/4, 5/6, …………… are fractional numbers.
Pictures of fraction as a part of a whole:
Fraction as a Part of a Whole
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1. When an object as a whole is divided into two parts, there are two possibilities. The parts may be equal or unequal.
Each equal part of a whole is called one-half. It is expressed as 1/2 and read as one over two or one upon two.
(i)
One-half
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If a colorful sheet of paper is taken and one edge is brought on to the opposite edge and a crease is made in the middle, then this crease divides the sheet of paper into two equal parts. Each part will be one half of the whole sheet.
(ii)
Half of the Whole
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The circle is also be divided into two half circles. Each of the two equal parts is called half of the whole. Similarly, each of the two equal parts of a square is known as the half fraction as a part of a whole.
2. Again if we take a sheet which was earlier divided into two equal parts by folding, it can again be divided by a second fold in the middle.
One-fourth
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Thus, the sheet is divided into four equal parts. Each equal part is called one-fourth or a quarter of the whole sheet. Thus, any whole can be divided into four equal parts and each part is one-fourth or a quarter of the whole. It is expressed as 1/4 and read as one over four or one upon four.
If we consider two parts of the four equal parts of a whole it will represent 2/4 or two fourths, i.e. two one-fourth or half.
If we consider three parts of the four equal parts of a whole, it will represent 3/4 or three-fourths or three quarters. It is also read as three upon four.
3. If a sheet is divided into three equal parts, then each part is called one-third of the whole sheet.
Thus, one of the three equal parts of a whole is called one-third of it and expressed as 1/3, which is written as one-third or one upon three.
See the pictures shows three equal parts of a sheet. →
Three Equal Parts of a Sheet
Similarly, if a circle is divided into three equal parts, each part is called one-third of the whole circle. One third is represented by 1/3 or, one upon three or, one three.
See the pictures shows three equal parts of a circle.