Question

which of the symbols correctly compares the given fractions?

Answer 1

Answer:

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Answer 2

Which of the symbols correctly compares the given fractions?

Fraction:

Fractions are used to represent the part of a whole.

2/5 represent 2 parts out of 5.

To compare the fractions we can use the symbols

$< \: \: \: > \: \: \: =$

1. When numerators of two Fractions are equal.

When the numerator of the two Fractions are equal, then we compare the denominator. The fraction with smaller denominator is greater than the fraction with larger denominator.

Eg:

$4 \div 5 \\ 4 \div 6$

In these two examples numberators are equal. As, the above condition fraction with lesser denominator will give us the greater value.

Hence

$4 \div 5 > 4 \div 6 \\ 0.8 > 0.66$

We can also write it as

$4 \div 6 < 4 \div 5$

2. When denominators of the two Fractions are equal.

When the denominators of the two Fractions are equal, then the fraction with larger numerator is greater than the fraction with smaller numberator.

Eg:

$8 \div 5 \\ 6 \div 5$

These two Fractions have same denominator. From the known condition, the fraction with larger numerator will have a larger value.

$8 \div 5 > 6 \div 5 \\ 1.6 > 1.2$

We can also write it as

$6 \div 5 < 8 \div 5$

3. When both the numerator and denominator are equal:

When both the numerator and denominator of the Fractions are equal then both the Fractions are equal.

Eg:

$1 \div 2 \\ 2 \div 4$

By solving

$2 \div 4 \: \: we \: get \: 1 \div 2$

Therefore,

$1 \div 2 = 2 \div 4$

Hence, the symbols used to compare Fractions are

$< \: \: \: > \: \: \: =$

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