Math / Numbers & Operations

QuestionAdd or subtract: $1+\frac{7}{8}$ .

Studdy Solution

STEP 1

What is this asking? We're simply adding a whole number and a fraction! Watch out! Don't forget to find a common denominator before adding fractions.

STEP 2

1. Rewrite the whole number as a fraction.
2. Add the fractions.

STEP 3

Alright, let's rewrite our whole number, $1$ , as a fraction.
Remember, any whole number can be written as a fraction with a denominator of $1$ .
So, we can rewrite $1$ as $\frac{1}{1}$ .
This doesn't change the value of the number, just how it looks!

STEP 4

Now, we want to add $\frac{1}{1}$ to $\frac{7}{8}$ , but we need a common denominator.
We can't add apples and oranges, right?
We need to make them both the same kind of fruit!
Our common denominator will be $8$ .

STEP 5

To change $\frac{1}{1}$ into a fraction with a denominator of $8$ , we multiply both the numerator and the denominator by $8$ .
Remember, multiplying by $\frac{8}{8}$ is the same as multiplying by $1$ , which doesn't change the value of the fraction!
$\frac{1}{1} \cdot \frac{8}{8} = \frac{1 \cdot 8}{1 \cdot 8} = \frac{8}{8}$

STEP 6

Now that both fractions have the same denominator, we can add them!
We add the numerators and keep the denominator the same.
$\frac{8}{8} + \frac{7}{8} = \frac{8 + 7}{8}$

STEP 7

Let's calculate the numerator:
$8 + 7 = 15$

STEP 8

So, our final fraction is:
$\frac{15}{8}$

STEP 9

Our final answer is $\frac{15}{8}$ !

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QuestionAdd or subtract: $1+\frac{7}{8}$ .

Studdy Solution

STEP 1

What is this asking? We're simply adding a whole number and a fraction! Watch out! Don't forget to find a common denominator before adding fractions.

STEP 2

1. Rewrite the whole number as a fraction.
2. Add the fractions.

STEP 3

Alright, let's rewrite our whole number, $1$ , as a fraction.
Remember, any whole number can be written as a fraction with a denominator of $1$ .
So, we can rewrite $1$ as $\frac{1}{1}$ .
This doesn't change the value of the number, just how it looks!

STEP 4

Now, we want to add $\frac{1}{1}$ to $\frac{7}{8}$ , but we need a common denominator.
We can't add apples and oranges, right?
We need to make them both the same kind of fruit!
Our common denominator will be $8$ .

STEP 5

STEP 6

Now that both fractions have the same denominator, we can add them!
We add the numerators and keep the denominator the same.
$\frac{8}{8} + \frac{7}{8} = \frac{8 + 7}{8}$

STEP 7

Let's calculate the numerator:
$8 + 7 = 15$

STEP 8

So, our final fraction is:
$\frac{15}{8}$

STEP 9

Our final answer is $\frac{15}{8}$ !

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QuestionAdd or subtract: 1+781+\frac{7}{8}1+87​.

Studdy Solution

STEP 1

What is this asking? We're simply adding a whole number and a fraction! Watch out! Don't forget to find a common denominator before adding fractions.

STEP 2

1. Rewrite the whole number as a fraction.2. Add the fractions.

STEP 3

Alright, let's **rewrite** our whole number, 111, as a fraction.Remember, any whole number can be written as a fraction with a denominator of 111.So, we can rewrite 111 as 11\frac{1}{1}11​.This doesn't change the *value* of the number, just how it looks!

STEP 4

Now, we want to add 11\frac{1}{1}11​ to 78\frac{7}{8}87​, but we need a **common denominator**.We can't add apples and oranges, right?We need to make them both the *same* kind of fruit!Our common denominator will be 888.

STEP 5

STEP 6

Now that both fractions have the same denominator, we can **add** them!We add the numerators and keep the denominator the same.88+78=8+78 \frac{8}{8} + \frac{7}{8} = \frac{8 + 7}{8} 88​+87​=88+7​

STEP 7

Let's **calculate** the numerator:8+7=15 8 + 7 = 15 8+7=15

STEP 8

So, our **final fraction** is:158 \frac{15}{8} 815​

STEP 9

Our final answer is 158\frac{15}{8}815​!

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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.

QuestionAdd or subtract: $1+\frac{7}{8}$ .

1. Rewrite the whole number as a fraction.
2. Add the fractions.

Alright, let's rewrite our whole number, $1$ , as a fraction.
Remember, any whole number can be written as a fraction with a denominator of $1$ .
So, we can rewrite $1$ as $\frac{1}{1}$ .
This doesn't change the value of the number, just how it looks!

Now, we want to add $\frac{1}{1}$ to $\frac{7}{8}$ , but we need a common denominator.
We can't add apples and oranges, right?
We need to make them both the same kind of fruit!
Our common denominator will be $8$ .

Now that both fractions have the same denominator, we can add them!
We add the numerators and keep the denominator the same.
$\frac{8}{8} + \frac{7}{8} = \frac{8 + 7}{8}$

Let's calculate the numerator:
$8 + 7 = 15$

So, our final fraction is:
$\frac{15}{8}$

Our final answer is $\frac{15}{8}$ !