Question

1. Are these numbers rational and why? (a) 1 3/4



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Answer 1

Yes (Assuming that what you're asking is whether 1.75 (1 1/3) is rational)

Why: by definition, a fraction cannot be irrational. It can be recurring, but irrational numbers simply cannot be expressed as fractions.

Answer 2

1 3/4 is a rational number

Given:

Fraction 1 3/4

To find :

Check whether given number is rational or irrational

Solution:

Rational Numbers:

Rational number is real number which can be represented in the form of p/q where p and q are integers and q ≠ 0.

Rational number can be any fraction with any positive or negative integers. For example, 1/2, 5/6, 3/2 ... etc.

But in case of an irrational number, it cannot be written in the form of a fraction like √2, √3 ...etc.

Rational numbers includes natural numbers,integers, whole numbers, fractions of integers, and decimals numbers to.

Given fraction is 1 3/4

1 3/4 = - 1/4 [ -1 = (4 × -1) + 3 ]

here given number is p/q for and also q 0

So we can conclude that 1 3/4 is a Rational number

Therefore,

1 3/4 is a rational number

Explanation: