QuestionCalculate $8 \frac{3}{4} - 4 \frac{1}{2}$ .

Studdy Solution

STEP 1

Assumptions1. We are subtracting two mixed numbers $8 \frac{3}{4}$ and $4 \frac{1}{}$ .

STEP 2

First, we need to convert the mixed numbers into improper fractions. An improper fraction is a fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number). We can do this by multiplying the whole number by the denominator and then adding the numerator.
For $8 \frac{}{4}$ $\frac{(8 \times4) +}{4}$ For $4 \frac{1}{2}$ $\frac{(4 \times2) +1}{2}$

STEP 3

Now, calculate the improper fractions.
For $8 \frac{3}{}$ $\frac{(8 \times) +3}{} = \frac{35}{}$ For $\frac{1}{2}$ $\frac{( \times2) +1}{2} = \frac{9}{2}$

STEP 4

Now that we have the improper fractions, we can subtract them. However, to subtract fractions, they must have the same denominator. In this case, they do not, so we need to find a common denominator. The least common denominator (LCD) is the least common multiple (LCM) of the two denominators. In this case, the LCM of4 and2 is4.
So, we rewrite $\frac{9}{2}$ as $\frac{18}{4}$ .

STEP 5

Now, subtract the two fractions.
$\frac{35}{4} - \frac{18}{4}$

STEP 6

Calculate the result of the subtraction.
$\frac{35}{4} - \frac{18}{4} = \frac{17}{4}$

STEP 7

Finally, convert the improper fraction back into a mixed number. We do this by dividing the numerator by the denominator.
$\frac{17}{4} =4 \frac{1}{4}$ So, $\frac{3}{4}-4 \frac{1}{2} =4 \frac{1}{4}$ .

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QuestionCalculate $8 \frac{3}{4} - 4 \frac{1}{2}$ .

Studdy Solution

STEP 1

Assumptions1. We are subtracting two mixed numbers $8 \frac{3}{4}$ and $4 \frac{1}{}$ .

STEP 2

STEP 3

Now, calculate the improper fractions.
For $8 \frac{3}{}$ $\frac{(8 \times) +3}{} = \frac{35}{}$ For $\frac{1}{2}$ $\frac{( \times2) +1}{2} = \frac{9}{2}$

STEP 4

STEP 5

Now, subtract the two fractions.
$\frac{35}{4} - \frac{18}{4}$

STEP 6

Calculate the result of the subtraction.
$\frac{35}{4} - \frac{18}{4} = \frac{17}{4}$

STEP 7

Finally, convert the improper fraction back into a mixed number. We do this by dividing the numerator by the denominator.
$\frac{17}{4} =4 \frac{1}{4}$ So, $\frac{3}{4}-4 \frac{1}{2} =4 \frac{1}{4}$ .

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QuestionCalculate 834−4128 \frac{3}{4} - 4 \frac{1}{2}843​−421​.

Studdy Solution

STEP 1

Assumptions1. We are subtracting two mixed numbers 8348 \frac{3}{4}843​ and 414 \frac{1}{}41​.

STEP 2

STEP 3

Now, calculate the improper fractions.For 838 \frac{3}{}83​(8×)+3=35\frac{(8 \times) +3}{} = \frac{35}{}(8×)+3​=35​For 12 \frac{1}{2}21​(×2)+12=92\frac{( \times2) +1}{2} = \frac{9}{2}2(×2)+1​=29​

STEP 4

STEP 5

Now, subtract the two fractions.354−184\frac{35}{4} - \frac{18}{4}435​−418​

STEP 6

Calculate the result of the subtraction.354−184=174\frac{35}{4} - \frac{18}{4} = \frac{17}{4}435​−418​=417​

STEP 7

Finally, convert the improper fraction back into a mixed number. We do this by dividing the numerator by the denominator.174=414\frac{17}{4} =4 \frac{1}{4}417​=441​So, 34−412=414 \frac{3}{4}-4 \frac{1}{2} =4 \frac{1}{4}43​−421​=441​.

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QuestionCalculate $8 \frac{3}{4} - 4 \frac{1}{2}$ .

Assumptions1. We are subtracting two mixed numbers $8 \frac{3}{4}$ and $4 \frac{1}{}$ .

Now, calculate the improper fractions.
For $8 \frac{3}{}$ $\frac{(8 \times) +3}{} = \frac{35}{}$ For $\frac{1}{2}$ $\frac{( \times2) +1}{2} = \frac{9}{2}$

Now, subtract the two fractions.
$\frac{35}{4} - \frac{18}{4}$

Calculate the result of the subtraction.
$\frac{35}{4} - \frac{18}{4} = \frac{17}{4}$

Finally, convert the improper fraction back into a mixed number. We do this by dividing the numerator by the denominator.
$\frac{17}{4} =4 \frac{1}{4}$ So, $\frac{3}{4}-4 \frac{1}{2} =4 \frac{1}{4}$ .