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Grade 5 - Mathematics
5.37 Fractions Review
A fraction is another way of expressing division.
The expression x/y is also written as x ÷ y. x is known as the numerator and y is known as denominator.
A fraction written as a combination of a whole number and a proper fraction is called a mixed fraction or mixed number.
To generate equivalent fractions of any given fraction, we proceed as follows:
Multiply the numerator and denominator by the same number (other than 0) or
Divide the numerator and denominator by their common factor (other than 1), if any.
The two fractions are equivalent if the product of numerator of the first and denominator of the second is equal to the product of the denominator of the first and numerator of the second.
To reduce a fraction, divide both the numerator and denominator by the largest factor of both.
A fraction is in its lowest term, if the numerator and denominator have no common factor other than 1.
Of the two fractions having the same denominator, the one with greater numerator is greater.
Of the two fractions having the same numerator, the one with greater denominator is smaller.
Operations with Fractions:
To add or subtract unlike fractions, first we convert them into like fractions and then perform the required operation on like fractions so obtained.
The product of two or more fractions is a fraction whose numerator is the product of their numerators and whose denominator is the product of their denominators.
When the product of two fractions or a fraction and a whole number is 1, then either of them is called the reciprocal of the other.
The number zero (0) has no reciprocal.
Dividing a fraction or a whole number by a fraction or a whole number (other than zero) is the same as multiplying the first by the reciprocal of the second.
Answer the following questions.
: Which among these is an improper fraction - 12/5, 3/5, 6/5, 1 2/3
: Which of these is an equivalent fraction of 5/9 - 25/35, 15/45, 25/45, 5/25
: Which is the greatest and the least among these fractions - 1, 12/5, 2/3
: What when added to 3 3/4 makes it 5?
: Convert 1.3 to fraction.
: What is the product of 2/3 and 1 3/4? Express in simplest form.
: What is 1 1/2 divided by 3/4?
: There are 27 hammers in a tool box, one-third is broken. How many of them are broken?
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