Can someone please show me how to estimate mixed numbers. An exsample like 6 and two thrids times 4 and one fifth. Also estimate by rounding to 0, 1/2, or 1. Exsample...5/8x9/10. I would appreciate any help I am in the 6th grade and me and math are not doing so well.....Thanks!
6 2/3 rounds to 7, 4.2 to 4, 7 * 4 = 28
5/8 is close to 1/2, 9/10 to 1, 1/2 * 1 = 1/2
43
Of course! I'm here to help. Estimating mixed numbers involves using the given information to make a rough calculation. Let's start with the example you provided: 6 and two-thirds times 4 and one-fifth.
To estimate this, we can first convert the mixed numbers into improper fractions. We do this by multiplying the whole number by the denominator and adding the numerator.
Let's convert 6 and two-thirds to an improper fraction:
6 and 2/3 = (6 × 3 + 2) / 3 = 20 / 3.
Similarly, let's convert 4 and one-fifth to an improper fraction:
4 and 1/5 = (4 × 5 + 1) / 5 = 21 / 5.
Now we can multiply these two fractions together:
(20 / 3) * (21 / 5) = (20 * 21) / (3 * 5) = 420 / 15.
To estimate this, we can round the fractions to the nearest whole numbers, halves, or tenths.
Estimate to the nearest whole number:
420 / 15 ≈ 28.
Estimate to the nearest half:
Since 15 is close to 16 (a multiple of 2), we can approximate it as 1/2. Similarly, 420 is close to 416 (a multiple of 8), so we can approximate it as 8. Therefore, 420 / 15 ≈ 8 and 1/2.
Estimate to the nearest tenth:
Divide both the numerator and denominator by 15 to get an approximate decimal value. 420 / 15 = 28. Therefore, 420 / 15 ≈ 28.
Now let's move on to the next example you mentioned: 5/8 multiplied by 9/10.
To estimate this, we can follow a similar process:
Multiply the fractions: (5 / 8) * (9 / 10) = 45 / 80.
Estimate to the nearest whole number:
45 / 80 ≈ 1.
Estimate to the nearest half:
45 / 80 ≈ 1/2.
Estimate to the nearest tenth:
Divide both the numerator and denominator by 8 to get an approximate decimal value. 45 / 80 = 0.5625. Therefore, 45 / 80 ≈ 0.6.
Remember that estimation is not exact, and it's simply a quick approximation. I hope this explanation helps you with estimating mixed numbers! Let's keep practicing and improving together.