SHOW THREE WAYS TO ESTIMATE 3/5 X 9 1/2. IDENTIFY EACH METHOD YOU USE.
3 * 2 = 6
3/5 * 10 - 1/2 * 1/2 = 6-1/4 = 5 3/4
30/5 = 6
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To estimate 3/5 x 9 1/2, we can use the following three methods:
Method 1: Rounding to Whole Numbers
Step 1: Round the fraction 3/5 to the nearest whole number. Since 3/5 is a little more than half (0.6), we can round it up to 1.
Step 2: Round the mixed number 9 1/2 to the nearest whole number. Since the fraction part 1/2 is less than half (0.5), we can round it down to 9.
Step 3: Multiply the rounded numbers together: 1 x 9 = 9.
Method 2: Decimal Approximation
Step 1: Convert the fraction 3/5 to a decimal by dividing 3 by 5: 3 ÷ 5 = 0.6.
Step 2: Convert the mixed number 9 1/2 to a decimal. To do this, add the whole number (9) to the fraction (1/2): 9 + 0.5 = 9.5.
Step 3: Multiply the decimal approximations together: 0.6 x 9.5 = 5.7.
Method 3: Mental Calculation
Step 1: Simplify the mixed number to an improper fraction: 9 1/2 = (2 * 9 + 1) / 2 = 19/2.
Step 2: Multiply the fractions together: (3/5) x (19/2) = (3 x 19) / (5 x 2) = 57/10.
Step 3: Estimate the division 57/10 by rounding the numerator and denominator. We can round 57 to 60, and 10 to 10, giving an estimation of 6/1 or 6.
So, the three ways to estimate 3/5 x 9 1/2 are:
Method 1: Rounding to Whole Numbers: 9
Method 2: Decimal Approximation: 5.7
Method 3: Mental Calculation: 6