Question

Five fifths divided by two fifths

Answer 1

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.

Answer 2

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! :)