Question

2.75 as a mixed number.

Answer 1

Write the number as a fraction of 1 (one):

2,75 = 2,75/1

Simultaneously multiply the numerator and denominator by 10 as many times as the digits after the comma (separation between the integer part and the fractional part of the number):

Since we have 2 numbers after the comma, multiply the numerator and denominator by 100. So,

2.75/1 = (2.75 x 100)/(1 x 100) = 275/100.

Note that multiplying by 10 is the same as moving the decimal point one place to the right.

Simplify (or reduce) the above fraction by dividing both the denominator and numerator by the greatest common factor between them. In this case, GCD(275,100) = 25.

(275÷25)/(100÷25) = 11/4

Since the numerator is greater than the denominator, we have an IMPROPER fraction, so we can express it as a NUMBER separation, so 275/100 is also equal to 2 3/4 when represented by a mixed number.

$\bf{2\dfrac{3}{4} \ \ \to \ \ \ Answer }$

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