Teacher Nora is writing a test for her grade 6 class. The test must contain 30 multiple-choice questions and 60 short response questions. If she had written 27 of the multiple-choice questions, what fraction of the total test had she written?
a. 3/10
b. 5/8
c. 2/3
d. 5/12
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To answer this question, I will divide it into 3 stages, namely:
Known:
Asked
Fraction of the total test had teacher Nora written
Answer
Completed questions divided Completed questions
= 27 / 90
= 3 / 10 (simplified by dividing the numerator and denominator by 3).
Thus, it can be found that the fraction of the total test had teacher Nora written is 3/10.
This problem can be solved using a fraction simplification system. There are two types of fractions, namely simple fractions and mixed fractions.
To simplify the two forms of fractions, the steps that must be taken include:
1. Find a number that can divide the numerator and denominator. Numbers can start small like 2 and continue with 3, 4, and so on.
2. Divide the numerator and denominator by a predetermined number.
3. Repeat the first and second steps until it can't be divided anymore.
4. Make sure that the numerator and denominator are indivisible.
In fact, there are many other ways you can simplify fractions, such as:
1. Using the Greatest Common Factor
The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share. Factors are numbers that you can multiply to get another number. For example, 3 and 4 are factors of 12 because you can multiply them together to get 12. To write down the factors of a number, you just need to write down all the numbers that can be multiplied to get that number and are divisible by the factors.
2. Divide by Small Numbers.
Using this method, you only have to choose a small number, such as 2, 3, 4, 5 or 7, to start with. Look at the fractions to make sure that each part is divisible by the number you've chosen. For example, if you have a fraction 24/108, don't choose 5 because they are not divisible by 5. However, if you have a fraction of 25/60, 5 is the right number to use.
3. Using Prime Factor Tree
A prime number is a number that cannot be divided by any other number (other than itself and 1, of course). 2, 3, 5, 7, and 11 are examples of prime numbers.
Learn more about 10 4/10 - 5 5/10 (Fraction) Answer here brainly.ph/question/20120317
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