Question:
[tex]\frac{5}{5} \div \frac{2}{5} = ?[/tex]
To divide a fraction, change the divisor into its reciprocal and change the sign to multiplication:
[tex]\frac{5}{5} \div \frac{2}{5} = \frac{5}{5} \times \frac{5}{2}[/tex]
Multiply the numerators and denominators of the fraction:
[tex]\frac{5}{5} \times \frac{5}{2} = \frac{25}{10}[/tex]
To simplify this fraction, we can use a modulo operation, where the numerator is divided by the denominator:
[tex]25 \ mod \ 10 = 2 \ R5[/tex]
The whole number remains a whole number, and the remainder is used as the numerator:
[tex]\frac{25}{10} = 2\frac{5}{10}[/tex]
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}
[tex]\frac{5}{10} \div \frac{5}{5} = \frac{1}{2} [/tex]
[tex]2\frac{5}{10} = 2\frac{1}{2}[/tex]
5/5 divided by 2/5 equals 2 and 1/2.
