first estimate answer then find exact answer simplify if possible 9 1/5*30
estimate: 9x30 = 270
exact: we are just off by 1/5 of 30 which is 6
exact answer: 276
9 1/5 makes 9*5+1/5=46/5
46/5*30=276
157 divide by18
estimate
To estimate the answer, we can round the given numbers to the nearest whole numbers.
9 1/5 is close to 9, and 30 is already a whole number.
So, estimating the calculation 9 1/5 * 30 would be 9 * 30.
Now, let's calculate the exact answer step by step:
Step 1: Convert the mixed number to an improper fraction.
9 1/5 = (9 * 5 + 1)/5 = 46/5
Step 2: Multiply the two fractions.
(46/5) * 30
Step 3: Multiply the numerators together and the denominators together.
(46 * 30) / (5 * 1)
Step 4: Calculate the multiplication:
1380 / 5
Step 5: Simplify the fraction if possible.
1380 divided by 5 equals 276.
So, the exact answer to 9 1/5 * 30 is 276.