multiplying fractions and whole numbers
5/6 x 84 =
Do it the same way I showed you for the other problem.
so 420 divided 6 = 70
so the answer is 70?
Right.
Student problem solving
To multiply a fraction by a whole number, you can convert the whole number into a fraction with a denominator of 1 and then proceed with the multiplication. Here's how you can solve the multiplication problem:
Step 1: Write the whole number as a fraction with a denominator of 1. In this case, 84 can be written as 84/1.
Step 2: Multiply the numerators together (top numbers) to get the new numerator. 5 x 84 = 420.
Step 3: Multiply the denominators together (bottom numbers) to get the new denominator. 6 x 1 = 6.
Step 4: Write the resulting numerator over the resulting denominator to form your answer. The answer is 420/6.
However, the fraction 420/6 can be simplified. Both the numerator and denominator are divisible by 6. If we divide both by 6, we get:
420 ÷ 6 = 70
6 ÷ 6 = 1
So, the simplified answer is 70/1, and since any number divided by 1 is itself, the final answer is just 70. Therefore:
5/6 x 84 = 70