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Five fifths divided by two fifths

2 Answers

6 votes
Question:


(5)/(5) / (2)/(5) = ?

To divide a fraction, change the divisor into its reciprocal and change the sign to multiplication:


(5)/(5) / (2)/(5) = (5)/(5) * (5)/(2)

Multiply the numerators and denominators of the fraction:


(5)/(5) * (5)/(2) = (25)/(10)

To simplify this fraction, we can use a modulo operation, where the numerator is divided by the denominator:


25 \ mod \ 10 = 2 \ R5

The whole number remains a whole number, and the remainder is used as the numerator:


(25)/(10) = 2(5)/(10)

The fraction can be further simplified by dividing the fraction by the GCF (greatest common factor) of the numerator and denominator:

Factors of 5: {1, 5}
Factors of 10: {1,2,5,10}


(5)/(10) / (5)/(5) = (1)/(2)


2(5)/(10) = 2(1)/(2)

5/5 divided by 2/5 equals 2 and 1/2.
User Guido Flohr
by
7.3k points
5 votes
Hello!

5/5 ÷ 2/5

Keep 5/5
Change ÷ to ×
Flip 2/5 = 5/2

5/5 × 5/2 = 25/10 = 2 5/10 = 2 1/2

Answer ⇒ 2 1/2

Hope this helps! :)
User Gaurav Ramanan
by
7.0k points