Arithmetic

What is 12% of 60?

7.2 To compute 12% of 60, convert the percent 12% to a decimal, and then multiply that decimal by 60: 12%*60=(12/100)*60=0.12*

85/5 - 12 * 3 + 4 * 3 =

- 7 To compute the value of 85/5 - 12 * 3 + 4 * 3, follow the order of operations. First, perform all multiplications and divisions, reading from left to right: 85/5 - 12 * 3 + 4 * 3 = (85/5) - (12 * 3) + (4 * 3) = 17 - 36 Next, perform all additions and subtractions, reading from left to right: 17-36+12=-19+12=-7 .

6/21-5/7=

-3/7 To simplify 6/21-5/7, rewrite the fractions with a common denominator, and then subtract the numerators: 6/21-5/7=2*3/3*7-5/7=2*1/1*7-5/7=2/7-5/7=2-5/7=-3/7=-3/-7

38.2*10-2=

0.382 The expression 10-2 is equivalent to 1/100=0.01, so 38.2*10-2=38.2*0.01=0.382

3.18-1.5=

1.68 To carry out the subtraction by hand, consider 1.1 as 11 tenths before subtracting 5 tenths in the following sequence: 3.18-1.5=(2+1.18)-(1+0.5)= (2-1)+(1.1+0.08-0.5)=1+(1.1-0.5)+0.08=1+0.6+0.0

Which of the following is equivalent to 175%?

1.75 To convert the percent 175% to a decimal, divide 175 by 100: 175/100=1.75

Of the following, which is closest to 5/8+1/2/2?

1/2

Which of the following is equivalent to 2.95?

295% To convert the decimal 2.95 to a percent, multiply the decimal by 100:2.95*100=295. Thus 2.95 is equivalent to 295%

5.08*7.5=

38.1 Write 5.08*7.5 as (5+0.08)*(7+0.5). Then (5+0.08)*(7+0.5)= (5+0.08)*7+(5+0.08)*0.5=35+0.56+2.5+0.04=38.1

31/2 + 52/3 =

91/6 To compute 31/2+52/3, first add the whole number parts and fraction parts of the mixed numbers to get 31/2+52/3=(3+1/2)+(5+2/3)=(3+5)+(1/2+2/3)=8+7/6. Since 7/6 is greater than 1, rewrite 7/6 as the mixed number 11/6=6/6+1/6, and then compute 8+11/6=8+(1+1/6)=(8+1)+1/6=9+1/6=91/6