Math / Numbers & Operations

QuestionMultiply. Write your answer as a fraction in simplest form. $\frac{7}{8} \times \frac{10}{3}$

Studdy Solution

STEP 1

What is this asking? We need to multiply two fractions and simplify the result to the lowest terms. Watch out! Don't forget to simplify the fraction after multiplying!

STEP 2

1. Multiply the numerators.
2. Multiply the denominators.
3. Simplify the resulting fraction.

STEP 3

Let's multiply the numerators of the two fractions!
We have $7$ and $10$ , and $7 \cdot 10 = 70$ .
So, our new numerator is 70.
Easy peasy!

STEP 4

Now, let's multiply the denominators, $8$ and $3$ .
We get $8 \cdot 3 = 24$ .
So, our new denominator is 24.
Awesome!

STEP 5

We currently have the fraction $\frac{70}{24}$ .
We need to simplify this.
Both the numerator and denominator are even, so they're both divisible by $2$ .
Let's divide both by $2$ .

STEP 6

Dividing $70$ by $2$ gives us $70 \div 2 = 35$ .
Dividing $24$ by $2$ gives us $24 \div 2 = 12$ .
So, our simplified fraction is now $\frac{35}{12}$ .

STEP 7

Can we simplify $\frac{35}{12}$ further?
Let's see!
The factors of $35$ are $1, 5, 7,$ and $35$ .
The factors of $12$ are $1, 2, 3, 4, 6,$ and $12$ .
The only common factor is $1$ , which means the fraction is already in its simplest form!

STEP 8

Our final answer, the product of $\frac{7}{8}$ and $\frac{10}{3}$ simplified to the lowest terms, is $\frac{35}{12}$ !

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QuestionMultiply. Write your answer as a fraction in simplest form. $\frac{7}{8} \times \frac{10}{3}$

Studdy Solution

STEP 1

What is this asking? We need to multiply two fractions and simplify the result to the lowest terms. Watch out! Don't forget to simplify the fraction after multiplying!

STEP 2

1. Multiply the numerators.
2. Multiply the denominators.
3. Simplify the resulting fraction.

STEP 3

Let's multiply the numerators of the two fractions!
We have $7$ and $10$ , and $7 \cdot 10 = 70$ .
So, our new numerator is 70.
Easy peasy!

STEP 4

Now, let's multiply the denominators, $8$ and $3$ .
We get $8 \cdot 3 = 24$ .
So, our new denominator is 24.
Awesome!

STEP 5

We currently have the fraction $\frac{70}{24}$ .
We need to simplify this.
Both the numerator and denominator are even, so they're both divisible by $2$ .
Let's divide both by $2$ .

STEP 6

Dividing $70$ by $2$ gives us $70 \div 2 = 35$ .
Dividing $24$ by $2$ gives us $24 \div 2 = 12$ .
So, our simplified fraction is now $\frac{35}{12}$ .

STEP 7

Can we simplify $\frac{35}{12}$ further?
Let's see!
The factors of $35$ are $1, 5, 7,$ and $35$ .
The factors of $12$ are $1, 2, 3, 4, 6,$ and $12$ .
The only common factor is $1$ , which means the fraction is already in its simplest form!

STEP 8

Our final answer, the product of $\frac{7}{8}$ and $\frac{10}{3}$ simplified to the lowest terms, is $\frac{35}{12}$ !

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QuestionMultiply. Write your answer as a fraction in simplest form. 78×103\frac{7}{8} \times \frac{10}{3}87​×310​

Studdy Solution

STEP 1

What is this asking? We need to multiply two fractions and simplify the result to the lowest terms. Watch out! Don't forget to simplify the fraction after multiplying!

STEP 2

1. Multiply the numerators.2. Multiply the denominators.3. Simplify the resulting fraction.

STEP 3

Let's **multiply** the **numerators** of the two fractions!We have 777 and 101010, and 7⋅10=707 \cdot 10 = 707⋅10=70.So, our new **numerator** is **70**.Easy peasy!

STEP 4

Now, let's **multiply** the **denominators**, 888 and 333.We get 8⋅3=248 \cdot 3 = 248⋅3=24.So, our new **denominator** is **24**.Awesome!

STEP 5

We currently have the fraction 7024\frac{70}{24}2470​.We need to **simplify** this.Both the numerator and denominator are even, so they're both divisible by 222.Let's **divide** both by 222.

STEP 6

Dividing 707070 by 222 gives us 70÷2=3570 \div 2 = 3570÷2=35.Dividing 242424 by 222 gives us 24÷2=1224 \div 2 = 1224÷2=12.So, our **simplified** fraction is now 3512\frac{35}{12}1235​.

STEP 7

Can we simplify 3512\frac{35}{12}1235​ further?Let's see!The factors of 353535 are 1,5,7,1, 5, 7,1,5,7, and 353535.The factors of 121212 are 1,2,3,4,6,1, 2, 3, 4, 6,1,2,3,4,6, and 121212.The only **common factor** is 111, which means the fraction is already in its **simplest form**!

STEP 8

Our final answer, the product of 78\frac{7}{8}87​ and 103\frac{10}{3}310​ simplified to the lowest terms, is 3512\frac{35}{12}1235​!

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Studdy solves anything!

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QuestionMultiply. Write your answer as a fraction in simplest form. $\frac{7}{8} \times \frac{10}{3}$

1. Multiply the numerators.
2. Multiply the denominators.
3. Simplify the resulting fraction.

Let's multiply the numerators of the two fractions!
We have $7$ and $10$ , and $7 \cdot 10 = 70$ .
So, our new numerator is 70.
Easy peasy!

Now, let's multiply the denominators, $8$ and $3$ .
We get $8 \cdot 3 = 24$ .
So, our new denominator is 24.
Awesome!

We currently have the fraction $\frac{70}{24}$ .
We need to simplify this.
Both the numerator and denominator are even, so they're both divisible by $2$ .
Let's divide both by $2$ .

Dividing $70$ by $2$ gives us $70 \div 2 = 35$ .
Dividing $24$ by $2$ gives us $24 \div 2 = 12$ .
So, our simplified fraction is now $\frac{35}{12}$ .

Can we simplify $\frac{35}{12}$ further?
Let's see!
The factors of $35$ are $1, 5, 7,$ and $35$ .
The factors of $12$ are $1, 2, 3, 4, 6,$ and $12$ .
The only common factor is $1$ , which means the fraction is already in its simplest form!

Our final answer, the product of $\frac{7}{8}$ and $\frac{10}{3}$ simplified to the lowest terms, is $\frac{35}{12}$ !