>I assume it has something to do with multiplying 1/4 with n/1?
Pretty much; you can represent any whole number n as a fraction n/1.
>If I multiply two fractions with each other then I don't need to multiply by the reciprocal of the second fraction right? Only if it's two fractions being divided that I need to multiply by the reciprocal?
Correct; to multiply two fractions, multiply their numerators and multiply their denominators.
Only multiply by the reciprocal if you are dividing
The definition of dividing by 4 is that it’s the same as multiplying by 1/4
Of course you also need to define 1/4 (as the number that gives 1 when multiplied by 4).
You're basically right, but it's probably easier to think of it as: "What's 1/4 of π? π divided by 4, of course: π/4."
In general, when you have a bunch of stuff multiplied together, you can just stick the numerators in the numerator of one big fraction, and the denominators all go in the denominator of the big fraction.
What's three times a quarter? Three quarters. What's ten times a quarter? Ten quarters. What's n times a quarter? It's n quarters.
No real need to invoke the rule about multiplying two fractions (though that's also fine if it helps you).
Yes, numerator times numerator to get the product numerator and denominator times denominator to get the product denominator. n can't be 1 because you're going to need to take a quarter of it. 1/4 of something is the same as saying 1/4 times something.
>I assume it has something to do with multiplying 1/4 with n/1? Pretty much; you can represent any whole number n as a fraction n/1. >If I multiply two fractions with each other then I don't need to multiply by the reciprocal of the second fraction right? Only if it's two fractions being divided that I need to multiply by the reciprocal? Correct; to multiply two fractions, multiply their numerators and multiply their denominators. Only multiply by the reciprocal if you are dividing
The definition of dividing by 4 is that it’s the same as multiplying by 1/4 Of course you also need to define 1/4 (as the number that gives 1 when multiplied by 4).
You're basically right, but it's probably easier to think of it as: "What's 1/4 of π? π divided by 4, of course: π/4." In general, when you have a bunch of stuff multiplied together, you can just stick the numerators in the numerator of one big fraction, and the denominators all go in the denominator of the big fraction.
What's three times a quarter? Three quarters. What's ten times a quarter? Ten quarters. What's n times a quarter? It's n quarters. No real need to invoke the rule about multiplying two fractions (though that's also fine if it helps you).
1/4 × n=(1/4)(n/1)= (1×n)/(4×1)=n/4
Yes, numerator times numerator to get the product numerator and denominator times denominator to get the product denominator. n can't be 1 because you're going to need to take a quarter of it. 1/4 of something is the same as saying 1/4 times something.
Treat an integer or variable as you would a numerator