Math / Numbers & Operations

QuestionWhat is the difference? $\frac{2}{3}-\frac{7}{12}$ $\frac{1}{24}$
(4)
$\frac{15}{24}$ $\frac{5}{9}$
$\frac{1}{12}$

Studdy Solution

STEP 1

What is this asking? We need to find the difference between two fractions, $\frac{2}{3}$ and $\frac{7}{12}$ . Watch out! We can't subtract fractions unless they have the same denominator!

STEP 2

1. Find a Common Denominator
2. Subtract the Fractions

STEP 3

Alright, let's get these fractions speaking the same language!
We've got $\frac{2}{3}$ and $\frac{7}{12}$ .
Notice that 12 is a multiple of 3 (because $3 \cdot 4 = 12$ ).
This means we can rewrite $\frac{2}{3}$ with a denominator of 12!

STEP 4

To turn the 3 into a 12, we multiply it by 4.
But remember, whatever we do to the bottom of a fraction, we must do to the top!
So, we multiply the 2 by 4 as well.
This gives us $\frac{2 \cdot 4}{3 \cdot 4} = \frac{8}{12}$ .
Awesome!

STEP 5

Now that our fractions have the same denominator, we can subtract them!
We have $\frac{8}{12} - \frac{7}{12}$ .

STEP 6

Since the denominators are the same, we just subtract the numerators: $8 - 7 = 1$ .
The denominator stays the same.
So, our final answer is $\frac{1}{12}$ !

STEP 7

The difference between $\frac{2}{3}$ and $\frac{7}{12}$ is $\frac{1}{12}$ .

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QuestionWhat is the difference? $\frac{2}{3}-\frac{7}{12}$ $\frac{1}{24}$
(4)
$\frac{15}{24}$ $\frac{5}{9}$
$\frac{1}{12}$

Studdy Solution

STEP 1

What is this asking? We need to find the difference between two fractions, $\frac{2}{3}$ and $\frac{7}{12}$ . Watch out! We can't subtract fractions unless they have the same denominator!

STEP 2

1. Find a Common Denominator
2. Subtract the Fractions

STEP 3

Alright, let's get these fractions speaking the same language!
We've got $\frac{2}{3}$ and $\frac{7}{12}$ .
Notice that 12 is a multiple of 3 (because $3 \cdot 4 = 12$ ).
This means we can rewrite $\frac{2}{3}$ with a denominator of 12!

STEP 4

To turn the 3 into a 12, we multiply it by 4.
But remember, whatever we do to the bottom of a fraction, we must do to the top!
So, we multiply the 2 by 4 as well.
This gives us $\frac{2 \cdot 4}{3 \cdot 4} = \frac{8}{12}$ .
Awesome!

STEP 5

Now that our fractions have the same denominator, we can subtract them!
We have $\frac{8}{12} - \frac{7}{12}$ .

STEP 6

Since the denominators are the same, we just subtract the numerators: $8 - 7 = 1$ .
The denominator stays the same.
So, our final answer is $\frac{1}{12}$ !

STEP 7

The difference between $\frac{2}{3}$ and $\frac{7}{12}$ is $\frac{1}{12}$ .

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QuestionWhat is the difference? 23−712\frac{2}{3}-\frac{7}{12}32​−127​ 124\frac{1}{24}241​(4)1524\frac{15}{24}2415​ 59\frac{5}{9}95​112\frac{1}{12}121​

Studdy Solution

STEP 1

What is this asking? We need to find the difference between two fractions, 23 \frac{2}{3} 32​ and 712 \frac{7}{12} 127​. Watch out! We can't subtract fractions unless they have the **same denominator**!

STEP 2

1. Find a Common Denominator2. Subtract the Fractions

STEP 3

Alright, let's get these fractions speaking the same language!We've got 23 \frac{2}{3} 32​ and 712 \frac{7}{12} 127​.Notice that **12** is a **multiple of 3** (because 3⋅4=123 \cdot 4 = 123⋅4=12).This means we can rewrite 23 \frac{2}{3} 32​ with a denominator of 12!

STEP 4

To turn the **3** into a **12**, we multiply it by **4**.But remember, whatever we do to the bottom of a fraction, we *must* do to the top!So, we multiply the **2** by **4** as well.This gives us 2⋅43⋅4=812 \frac{2 \cdot 4}{3 \cdot 4} = \frac{8}{12} 3⋅42⋅4​=128​.Awesome!

STEP 5

Now that our fractions have the **same denominator**, we can subtract them!We have 812−712 \frac{8}{12} - \frac{7}{12} 128​−127​.

STEP 6

Since the denominators are the same, we just subtract the numerators: 8−7=1 8 - 7 = 1 8−7=1.The denominator stays the same.So, our **final answer** is 112 \frac{1}{12} 121​!

STEP 7

The difference between 23 \frac{2}{3} 32​ and 712 \frac{7}{12} 127​ is 112 \frac{1}{12} 121​.

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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.

QuestionWhat is the difference? $\frac{2}{3}-\frac{7}{12}$ $\frac{1}{24}$
(4)
$\frac{15}{24}$ $\frac{5}{9}$
$\frac{1}{12}$

What is this asking? We need to find the difference between two fractions, $\frac{2}{3}$ and $\frac{7}{12}$ . Watch out! We can't subtract fractions unless they have the same denominator!

1. Find a Common Denominator
2. Subtract the Fractions

Alright, let's get these fractions speaking the same language!
We've got $\frac{2}{3}$ and $\frac{7}{12}$ .
Notice that 12 is a multiple of 3 (because $3 \cdot 4 = 12$ ).
This means we can rewrite $\frac{2}{3}$ with a denominator of 12!

To turn the 3 into a 12, we multiply it by 4.
But remember, whatever we do to the bottom of a fraction, we must do to the top!
So, we multiply the 2 by 4 as well.
This gives us $\frac{2 \cdot 4}{3 \cdot 4} = \frac{8}{12}$ .
Awesome!

Now that our fractions have the same denominator, we can subtract them!
We have $\frac{8}{12} - \frac{7}{12}$ .

Since the denominators are the same, we just subtract the numerators: $8 - 7 = 1$ .
The denominator stays the same.
So, our final answer is $\frac{1}{12}$ !

The difference between $\frac{2}{3}$ and $\frac{7}{12}$ is $\frac{1}{12}$ .