# Questions tagged [fractions]

Questions on fractions, i.e. expressions (not values) of the form $\frac ab$, including arithmetic with fractions. Not to be confused with the tag (rational-numbers): fractions denote rational numbers, but the same rational number may be written in different ways as a fraction.

2,244 questions
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### Is it correct to say 5 is divided in equal parts by 6 [on hold]

If we write 16/2, we say 16 is divided into two equal parts, likewise is it correct to say 5 is divided into 6 equal parts?
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### can we perform modulo operator on a fraction on both of it's numerator and denominator?

I want to calculate nCr (mod $10^9+1)$.so for calculating nCr we have: $$nCr=\frac{n!}{r!(n-r)!}$$ so I want to know whether it is true that I perform modulo operator to numerator and denominator ...
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### When sum of fraction is the same as the fraction made by the sum of numerators and sum of denominators

My students naturally want to add fractions adding numerators and denominators. I say many times it does not rule like this, but is there a (small) set of integers which this rule work? That is Where ...
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### How to find $\frac{146}7 \mod{7}$?
I understand that if $\gcd{(b,c)}=1$ then we can find $\frac{a}b\mod{c}$ by writing $$x\equiv \frac{a}b\mod{c}$$ $$bx\equiv a\mod{c}$$ then reducing $a$ and solving the modular equation by finding the ...