Math / Numbers & Operations

QuestionVisualizing Fraction Subtra What is the difference? CLEAR $7 \frac{3}{8}-5 \frac{1}{2}$ $1 \frac{5}{8}$ $1 \frac{7}{8}$
$2 \frac{1}{8}$ $2 \frac{5}{8}$

Studdy Solution

STEP 1

What is this asking? We need to subtract two mixed numbers and find the difference. Watch out! Remember to find a common denominator before subtracting fractions!

STEP 2

1. Convert to Improper Fractions
2. Find a Common Denominator
3. Subtract the Fractions
4. Convert Back to a Mixed Number

STEP 3

Alright, let's kick things off by converting these mixed numbers into improper fractions!
We take the whole number part and multiply it by the denominator, then add the numerator.
For $7\frac{3}{8}$ , we have $7 \cdot 8 + 3 = 56 + 3 = 59$ , so our improper fraction is $\frac{59}{8}$ .

STEP 4

Now, let's do the same for $5\frac{1}{2}$ .
We have $5 \cdot 2 + 1 = 10 + 1 = 11$ , giving us $\frac{11}{2}$ .

STEP 5

To subtract fractions, we need a common denominator.
We have $\frac{59}{8}$ and $\frac{11}{2}$ .
The smallest common denominator is 8, since 2 divides evenly into 8.

STEP 6

We need to convert $\frac{11}{2}$ to have a denominator of 8.
We can do this by multiplying the numerator and denominator by 4: $\frac{11}{2} \cdot \frac{4}{4} = \frac{44}{8}$ .
Remember, multiplying by $\frac{4}{4}$ is the same as multiplying by 1, so it doesn't change the value of the fraction, just how it looks!

STEP 7

Now that we have a common denominator, we can subtract! $\frac{59}{8} - \frac{44}{8} = \frac{59 - 44}{8} = \frac{15}{8}$ .
Boom!

STEP 8

Let's turn our improper fraction, $\frac{15}{8}$ , back into a mixed number.
How many times does 8 go into 15?
It goes in once with a remainder of 7.
So, our mixed number is $1\frac{7}{8}$ .

STEP 9

The difference between $7\frac{3}{8}$ and $5\frac{1}{2}$ is $1\frac{7}{8}$ .

Was this helpful?

QuestionVisualizing Fraction Subtra What is the difference? CLEAR $7 \frac{3}{8}-5 \frac{1}{2}$ $1 \frac{5}{8}$ $1 \frac{7}{8}$
$2 \frac{1}{8}$ $2 \frac{5}{8}$

Studdy Solution

STEP 1

What is this asking? We need to subtract two mixed numbers and find the difference. Watch out! Remember to find a common denominator before subtracting fractions!

STEP 2

1. Convert to Improper Fractions
2. Find a Common Denominator
3. Subtract the Fractions
4. Convert Back to a Mixed Number

STEP 3

Alright, let's kick things off by converting these mixed numbers into improper fractions!
We take the whole number part and multiply it by the denominator, then add the numerator.
For $7\frac{3}{8}$ , we have $7 \cdot 8 + 3 = 56 + 3 = 59$ , so our improper fraction is $\frac{59}{8}$ .

STEP 4

Now, let's do the same for $5\frac{1}{2}$ .
We have $5 \cdot 2 + 1 = 10 + 1 = 11$ , giving us $\frac{11}{2}$ .

STEP 5

To subtract fractions, we need a common denominator.
We have $\frac{59}{8}$ and $\frac{11}{2}$ .
The smallest common denominator is 8, since 2 divides evenly into 8.

STEP 6

STEP 7

Now that we have a common denominator, we can subtract! $\frac{59}{8} - \frac{44}{8} = \frac{59 - 44}{8} = \frac{15}{8}$ .
Boom!

STEP 8

Let's turn our improper fraction, $\frac{15}{8}$ , back into a mixed number.
How many times does 8 go into 15?
It goes in once with a remainder of 7.
So, our mixed number is $1\frac{7}{8}$ .

STEP 9

The difference between $7\frac{3}{8}$ and $5\frac{1}{2}$ is $1\frac{7}{8}$ .

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionVisualizing Fraction Subtra What is the difference? CLEAR 738−5127 \frac{3}{8}-5 \frac{1}{2}783​−521​ 1581 \frac{5}{8}185​ 1781 \frac{7}{8}187​2182 \frac{1}{8}281​ 2582 \frac{5}{8}285​

Studdy Solution

STEP 1

What is this asking? We need to subtract two mixed numbers and find the difference. Watch out! Remember to find a common denominator before subtracting fractions!

STEP 2

1. Convert to Improper Fractions2. Find a Common Denominator3. Subtract the Fractions4. Convert Back to a Mixed Number

STEP 3

STEP 4

Now, let's do the same for 5125\frac{1}{2}521​.We have 5⋅2+1=10+1=115 \cdot 2 + 1 = 10 + 1 = 115⋅2+1=10+1=11, giving us 112\frac{11}{2}211​.

STEP 5

To subtract fractions, we need a common denominator.We have 598\frac{59}{8}859​ and 112\frac{11}{2}211​.The **smallest common denominator** is **8**, since 2 divides evenly into 8.

STEP 6

STEP 7

Now that we have a common denominator, we can subtract! 598−448=59−448=158\frac{59}{8} - \frac{44}{8} = \frac{59 - 44}{8} = \frac{15}{8}859​−844​=859−44​=815​.Boom!

STEP 8

Let's turn our improper fraction, 158\frac{15}{8}815​, back into a mixed number.How many times does 8 go into 15?It goes in **once** with a remainder of **7**.So, our mixed number is 1781\frac{7}{8}187​.

STEP 9

The difference between 7387\frac{3}{8}783​ and 5125\frac{1}{2}521​ is 1781\frac{7}{8}187​.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionVisualizing Fraction Subtra What is the difference? CLEAR $7 \frac{3}{8}-5 \frac{1}{2}$ $1 \frac{5}{8}$ $1 \frac{7}{8}$
$2 \frac{1}{8}$ $2 \frac{5}{8}$

1. Convert to Improper Fractions
2. Find a Common Denominator
3. Subtract the Fractions
4. Convert Back to a Mixed Number

Now, let's do the same for $5\frac{1}{2}$ .
We have $5 \cdot 2 + 1 = 10 + 1 = 11$ , giving us $\frac{11}{2}$ .

To subtract fractions, we need a common denominator.
We have $\frac{59}{8}$ and $\frac{11}{2}$ .
The smallest common denominator is 8, since 2 divides evenly into 8.

Now that we have a common denominator, we can subtract! $\frac{59}{8} - \frac{44}{8} = \frac{59 - 44}{8} = \frac{15}{8}$ .
Boom!

Let's turn our improper fraction, $\frac{15}{8}$ , back into a mixed number.
How many times does 8 go into 15?
It goes in once with a remainder of 7.
So, our mixed number is $1\frac{7}{8}$ .

The difference between $7\frac{3}{8}$ and $5\frac{1}{2}$ is $1\frac{7}{8}$ .