Solve the Fraction Expression: 9/10 - 4/5 + 1/2

Question

Solve the following exercise:

91045+12=? \frac{9}{10}-\frac{4}{5}+\frac{1}{2}=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:03 We want to find the least common denominator
00:06 Therefore we'll multiply by 2 and 5 respectively for the common denominator 10
00:09 Remember to multiply both numerator and denominator
00:25 Let's calculate the multiplications
00:33 Add under common denominator
00:41 Calculate the numerator, one operation at a time
00:45 And this is the solution to the question

Step-by-Step Solution

To solve the expression 91045+12 \frac{9}{10} - \frac{4}{5} + \frac{1}{2} , we first seek a common denominator for the fractions. The denominators are 10, 5, and 2.

The least common multiple of these numbers is 10, as it is the smallest number that all denominators divide perfectly.

  • Convert 45 \frac{4}{5} to a fraction with a denominator of 10: 45=4×25×2=810 \frac{4}{5} = \frac{4 \times 2}{5 \times 2} = \frac{8}{10} .
  • Convert 12 \frac{1}{2} to a fraction with a denominator of 10: 12=1×52×5=510 \frac{1}{2} = \frac{1 \times 5}{2 \times 5} = \frac{5}{10} .

Now, the expression becomes 910810+510 \frac{9}{10} - \frac{8}{10} + \frac{5}{10} .

Perform the operations:

  • Subtract: 910810=110 \frac{9}{10} - \frac{8}{10} = \frac{1}{10} .
  • Add: 110+510=610 \frac{1}{10} + \frac{5}{10} = \frac{6}{10} .

Thus, the value of the expression is 610 \frac{6}{10} .

The correct answer is 610\frac{6}{10}.

Answer

610 \frac{6}{10}