1.25multiplied by 3.4

Question

a rectangular garden is 1.25 meters wide and 3,4 meters long what is the area of the garden

Answer 1

To multiply two decimal fractions remove the decimal point and multiply:

125×34=4250. Now count the number of decimal places after the decimal point for each number:

1.25 has 2 decimal places; 3.4 has one decimal place. 2+1=3, so in the answer 4250 we need to put the decimal point 3 places from the end: 4.25 (the final zero can be omitted). The units of the area will be square metres. Answer 4.25m². (¼=25/100 (25 hundredths)=0.25.)

Another way is to convert the decimals to fractions: 1.25=5/4; 3.4=3+4/10=3+⅖=17/5.

Now multiply the fractions: (5/4)(17/5)=5×17/(4×5)=(5/5)(17/4)=17/4=4¼=4.25. Answer 4.25m².