Natalie sawed five boards of equal length to make a stool. each was 9 tenths of a meter long. what is the total length of the boards she sawed? express your answer as the sum of a whole number and the remaining fractional units.

total length= 4  ¹/₂ meters

Step-by-step explanation:

If each board had 9/10 of a meter long (0,9 m or 90 cm long) , the total length of the boards was the sum of all each board's length, that is 5 times 9/10 of a meter. Mathematically

total length = 5 boards * 9/10 meters/board = 5*9/10 meters = 45/10 meters

45/10 meters can be simplified dividing by the common factor 5

45/10 = (9*5)/(2*5) = 9/2

then dividing 9 over 2 → equals 4 with rest = 1 (that is 9 = 4*2 +1)

therefore

9/2 = 4  ¹/₂ , 4=result of division , 1= rest , 2=denominator of the fraction

total length=9/2  meters = 4  ¹/₂ meters