QuestionSelect all equivalent ratios from: 4:7, 8:15, 16:28, 2:3, 20:35.

Studdy Solution

STEP 1

Assumptions1. The ratios given are $47$ , $815$ , $1628$ , $3$ and $2035$ . . Two ratios are equivalent if they reduce to the same simplest form.

STEP 2

We will find the simplest form of each ratio by dividing both numbers in the ratio by their greatest common divisor (GCD).For the ratio $47$ , the GCD of4 and7 is1. So, the simplest form of this ratio is $\frac{4}{1} \frac{7}{1} =47$

STEP 3

For the ratio $815$ , the GCD of8 and15 is1. So, the simplest form of this ratio is $\frac{8}{1} \frac{15}{1} =815$

STEP 4

For the ratio $1628$ , the GCD of16 and28 is4. So, the simplest form of this ratio is $\frac{16}{4} \frac{28}{4} =47$

STEP 5

For the ratio $23$ , the GCD of2 and3 is1. So, the simplest form of this ratio is $\frac{2}{1} \frac{3}{1} =23$

STEP 6

For the ratio $2035$ , the GCD of20 and35 is5. So, the simplest form of this ratio is $\frac{20}{5} \frac{35}{5} =4$

STEP 7

Now, we compare the simplest forms of all the ratios. The ratios $47$ , $1628$ , and $2035$ are equivalent to each other as they all reduce to the simplest form $47$ .
The ratios that are equivalent to each other are $47$ , $1628$ , and $2035$ .

Was this helpful?

QuestionSelect all equivalent ratios from: 4:7, 8:15, 16:28, 2:3, 20:35.

Studdy Solution

STEP 1

Assumptions1. The ratios given are $47$ , $815$ , $1628$ , $3$ and $2035$ . . Two ratios are equivalent if they reduce to the same simplest form.

STEP 2

We will find the simplest form of each ratio by dividing both numbers in the ratio by their greatest common divisor (GCD).For the ratio $47$ , the GCD of4 and7 is1. So, the simplest form of this ratio is $\frac{4}{1} \frac{7}{1} =47$

STEP 3

For the ratio $815$ , the GCD of8 and15 is1. So, the simplest form of this ratio is $\frac{8}{1} \frac{15}{1} =815$

STEP 4

For the ratio $1628$ , the GCD of16 and28 is4. So, the simplest form of this ratio is $\frac{16}{4} \frac{28}{4} =47$

STEP 5

For the ratio $23$ , the GCD of2 and3 is1. So, the simplest form of this ratio is $\frac{2}{1} \frac{3}{1} =23$

STEP 6

For the ratio $2035$ , the GCD of20 and35 is5. So, the simplest form of this ratio is $\frac{20}{5} \frac{35}{5} =4$

STEP 7

Now, we compare the simplest forms of all the ratios. The ratios $47$ , $1628$ , and $2035$ are equivalent to each other as they all reduce to the simplest form $47$ .
The ratios that are equivalent to each other are $47$ , $1628$ , and $2035$ .

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.

QuestionSelect all equivalent ratios from: 4:7, 8:15, 16:28, 2:3, 20:35.

Studdy Solution

STEP 1

Assumptions1. The ratios given are 474747, 815815815, 162816281628, 333 and 203520352035. . Two ratios are equivalent if they reduce to the same simplest form.

STEP 2

We will find the simplest form of each ratio by dividing both numbers in the ratio by their greatest common divisor (GCD).For the ratio 474747, the GCD of4 and7 is1. So, the simplest form of this ratio is4171=47\frac{4}{1} \frac{7}{1} =4714​17​=47

STEP 3

For the ratio 815815815, the GCD of8 and15 is1. So, the simplest form of this ratio is81151=815\frac{8}{1} \frac{15}{1} =81518​115​=815

STEP 4

For the ratio 162816281628, the GCD of16 and28 is4. So, the simplest form of this ratio is164284=47\frac{16}{4} \frac{28}{4} =47416​428​=47

STEP 5

For the ratio 232323, the GCD of2 and3 is1. So, the simplest form of this ratio is2131=23\frac{2}{1} \frac{3}{1} =2312​13​=23

STEP 6

For the ratio 203520352035, the GCD of20 and35 is5. So, the simplest form of this ratio is205355=4\frac{20}{5} \frac{35}{5} =4520​535​=4

STEP 7

Now, we compare the simplest forms of all the ratios. The ratios 474747, 162816281628, and 203520352035 are equivalent to each other as they all reduce to the simplest form 474747.The ratios that are equivalent to each other are 474747, 162816281628, and 203520352035.

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.

Assumptions1. The ratios given are $47$ , $815$ , $1628$ , $3$ and $2035$ . . Two ratios are equivalent if they reduce to the same simplest form.

We will find the simplest form of each ratio by dividing both numbers in the ratio by their greatest common divisor (GCD).For the ratio $47$ , the GCD of4 and7 is1. So, the simplest form of this ratio is $\frac{4}{1} \frac{7}{1} =47$

For the ratio $815$ , the GCD of8 and15 is1. So, the simplest form of this ratio is $\frac{8}{1} \frac{15}{1} =815$

For the ratio $1628$ , the GCD of16 and28 is4. So, the simplest form of this ratio is $\frac{16}{4} \frac{28}{4} =47$

For the ratio $23$ , the GCD of2 and3 is1. So, the simplest form of this ratio is $\frac{2}{1} \frac{3}{1} =23$

For the ratio $2035$ , the GCD of20 and35 is5. So, the simplest form of this ratio is $\frac{20}{5} \frac{35}{5} =4$

Now, we compare the simplest forms of all the ratios. The ratios $47$ , $1628$ , and $2035$ are equivalent to each other as they all reduce to the simplest form $47$ .
The ratios that are equivalent to each other are $47$ , $1628$ , and $2035$ .