Solved on Nov 22, 2023

Simplify the ratio $\frac{9}{10} : 4 : \frac{12}{8}$ to its lowest terms.

STEP 1

Assumptions1. The given ratio is $\frac{9}{10}:4 \frac{12}{8}$ . . We need to reduce this ratio to its simplest form.

STEP 2

First, let's simplify the fractions in the ratio.
$\frac{9}{10}:4 \frac{12}{8} = \frac{9}{10}:4 \frac{}{2}$

STEP 3

To simplify the ratio, we need to convert all terms to the same form. In this case, we will convert all terms to fractions.
$\frac{9}{10}: \frac{3}{2} = \frac{9}{10}: \frac{}{1}: \frac{3}{2}$

STEP 4

Now, let's find a common denominator for all the fractions. The common denominator is the least common multiple (LCM) of10,1, and2, which is10.

STEP 5

Convert all fractions to have the common denominator.
$\frac{9}{10}: \frac{4}{1}: \frac{3}{2} = \frac{9}{10}: \frac{40}{10}: \frac{15}{10}$

STEP 6

Now, we can simplify the ratio by removing the common denominator.
$\frac{9}{10}: \frac{40}{10}: \frac{15}{10} =94015$

STEP 7

To further simplify the ratio, we find the greatest common divisor (GCD) of9,40, and15. The GCD is1.

STEP 8

Since the GCD is1, the ratio is already in its simplest form.
So, the ratio $\frac{}{10}:4 \frac{12}{8}$ reduces to $4015$ in its simplest form.

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Simplify the ratio $\frac{9}{10} : 4 : \frac{12}{8}$ to its lowest terms.

STEP 1

Assumptions1. The given ratio is $\frac{9}{10}:4 \frac{12}{8}$ . . We need to reduce this ratio to its simplest form.

STEP 2

First, let's simplify the fractions in the ratio.
$\frac{9}{10}:4 \frac{12}{8} = \frac{9}{10}:4 \frac{}{2}$

STEP 3

To simplify the ratio, we need to convert all terms to the same form. In this case, we will convert all terms to fractions.
$\frac{9}{10}: \frac{3}{2} = \frac{9}{10}: \frac{}{1}: \frac{3}{2}$

STEP 4

Now, let's find a common denominator for all the fractions. The common denominator is the least common multiple (LCM) of10,1, and2, which is10.

STEP 5

Convert all fractions to have the common denominator.
$\frac{9}{10}: \frac{4}{1}: \frac{3}{2} = \frac{9}{10}: \frac{40}{10}: \frac{15}{10}$

STEP 6

Now, we can simplify the ratio by removing the common denominator.
$\frac{9}{10}: \frac{40}{10}: \frac{15}{10} =94015$

STEP 7

To further simplify the ratio, we find the greatest common divisor (GCD) of9,40, and15. The GCD is1.

STEP 8

Since the GCD is1, the ratio is already in its simplest form.
So, the ratio $\frac{}{10}:4 \frac{12}{8}$ reduces to $4015$ in its simplest form.

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Simplify the ratio 910:4:128\frac{9}{10} : 4 : \frac{12}{8}109​:4:812​ to its lowest terms.

STEP 1

Assumptions1. The given ratio is 910:4128\frac{9}{10}:4 \frac{12}{8}109​:4812​. . We need to reduce this ratio to its simplest form.

STEP 2

First, let's simplify the fractions in the ratio.910:4128=910:42\frac{9}{10}:4 \frac{12}{8} = \frac{9}{10}:4 \frac{}{2}109​:4812​=109​:42​

STEP 3

To simplify the ratio, we need to convert all terms to the same form. In this case, we will convert all terms to fractions.910:32=910:1:32\frac{9}{10}: \frac{3}{2} = \frac{9}{10}: \frac{}{1}: \frac{3}{2}109​:23​=109​:1​:23​

STEP 4

Now, let's find a common denominator for all the fractions. The common denominator is the least common multiple (LCM) of10,1, and2, which is10.

STEP 5

Convert all fractions to have the common denominator.910:41:32=910:4010:1510\frac{9}{10}: \frac{4}{1}: \frac{3}{2} = \frac{9}{10}: \frac{40}{10}: \frac{15}{10}109​:14​:23​=109​:1040​:1015​

STEP 6

Now, we can simplify the ratio by removing the common denominator.910:4010:1510=94015\frac{9}{10}: \frac{40}{10}: \frac{15}{10} =94015109​:1040​:1015​=94015

STEP 7

To further simplify the ratio, we find the greatest common divisor (GCD) of9,40, and15. The GCD is1.

STEP 8

Since the GCD is1, the ratio is already in its simplest form.So, the ratio 10:4128\frac{}{10}:4 \frac{12}{8}10​:4812​ reduces to 401540154015 in its simplest form.

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

Simplify the ratio $\frac{9}{10} : 4 : \frac{12}{8}$ to its lowest terms.

Assumptions1. The given ratio is $\frac{9}{10}:4 \frac{12}{8}$ . . We need to reduce this ratio to its simplest form.

First, let's simplify the fractions in the ratio.
$\frac{9}{10}:4 \frac{12}{8} = \frac{9}{10}:4 \frac{}{2}$

To simplify the ratio, we need to convert all terms to the same form. In this case, we will convert all terms to fractions.
$\frac{9}{10}: \frac{3}{2} = \frac{9}{10}: \frac{}{1}: \frac{3}{2}$

Convert all fractions to have the common denominator.
$\frac{9}{10}: \frac{4}{1}: \frac{3}{2} = \frac{9}{10}: \frac{40}{10}: \frac{15}{10}$

Now, we can simplify the ratio by removing the common denominator.
$\frac{9}{10}: \frac{40}{10}: \frac{15}{10} =94015$

Since the GCD is1, the ratio is already in its simplest form.
So, the ratio $\frac{}{10}:4 \frac{12}{8}$ reduces to $4015$ in its simplest form.