Can someone please explain to me how they got this . I keep breaking my head using multiplicative identity
5/3 ×6/6=30/18
The multiplicative identity stats that you can multiply 1 by any number and the product is that number, so the number stays the same.
5/3 * 6/6 = 30/18
6/6 can be simplified to 1
30/18 can be simplified to 5/3
so:
5/3 * 1 = 5/3
which satisfies the multiplicative identity
You can also check by just flat out multiplying both fractions together:
(5*6)/(3*6) = 30/18
To understand how this calculation was done, it's important to have a grasp on the concept of fractions and multiplication of fractions. Here's a step-by-step explanation:
Step 1: Start with the given expression:
5/3 × 6/6
Step 2: Multiply the numerators (the top numbers) together:
5 × 6 = 30
Step 3: Multiply the denominators (the bottom numbers) together:
3 × 6 = 18
Step 4: Write the result from step 2 as the new numerator and the result from step 3 as the new denominator:
30/18
That's how the expression 5/3 × 6/6 simplifies to 30/18.
However, it's worth noting that 30/18 is not in its simplest form. To simplify it further, you can divide both the numerator and denominator by their greatest common divisor (the highest number that divides evenly into both). In this case, the greatest common divisor (GCD) of 30 and 18 is 6:
Step 5: Divide the numerator (30) and denominator (18) by their greatest common divisor (6):
30 ÷ 6 = 5
18 ÷ 6 = 3
The simplified fraction is 5/3, which is the final result.
In summary, the steps followed to get the result 30/18 are: multiplying the numerators together, multiplying the denominators together, writing the results as the new numerator and denominator, and further simplifying the fraction if possible.