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three and three fourt less than ten and two 3 please give me a sulotion​

Sagot :

Ryzukunidn

Answer:

To solve "three and three-fourths less than ten and two-thirds," you need to subtract the two fractions:

1. Convert "three and three-fourths" to an improper fraction: \( 3 \frac{3}{4} = \frac{15}{4} \).

2. Convert "ten and two-thirds" to an improper fraction: \( 10 \frac{2}{3} = \frac{32}{3} \).

To subtract these, find a common denominator (which is 12):

- \( \frac{15}{4} = \frac{45}{12} \)

- \( \frac{32}{3} = \frac{128}{12} \)

Now subtract \( \frac{45}{12} \) from \( \frac{128}{12} \):

\[ \frac{128}{12} - \frac{45}{12} = \frac{83}{12} \]

Convert \( \frac{83}{12} \) back to a mixed number: \( 6 \frac{11}{12} \).

So, the result is \( 6 \frac{11}{12} \).

Step-by-step explanation:

same lng yung nasa pic at yung type ko

View image Ryzukun
View image Ryzukun
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Step 1: Convert Mixed Numbers to Improper Fractions

First, convert both mixed numbers to improper fractions.

[tex] \( 3 \frac{3}{4} \):

\[ 3 \frac{3}{4} = \frac{3 \times 4 + 3}{4} = \frac{12 + 3}{4} = \frac{15}{4} [/tex]

[tex] \( 10 \frac{2}{3} \):

\[ 10 \frac{2}{3} = \frac{10 \times 3 + 2}{3} = \frac{30 + 2}{3} = \frac{32}{3} [/tex]

Step 2: Find the Difference

[tex]\frac{32}{3} - \frac{15}{4}[/tex]

Step 3: Common Denominator

To subtract these fractions, find a common denominator. The least common multiple (LCM) of 3 and 4 is 12.

Convert both fractions to have a denominator of 12:

[tex]\frac{32}{3} = \frac{32 \times 4}{3 \times 4} = \frac{128}{12}[/tex]

[tex]\frac{15}{4} = \frac{15 \times 3}{4 \times 3} = \frac{45}{12}[/tex]

Step 4: Subtract the Fractions

Now subtract the fractions:

[tex]\frac{128}{12} - \frac{45}{12} = \frac{128 - 45}{12} = \frac{83}{12}[/tex]

Step 5: Simplify if Necessary

### Final Answer

To express it in mixed number form:

[tex]\frac{83}{12} = 6 \frac{11}{12}[/tex]

[tex] \( 10 \frac{2}{3} \) \: is \: \( 6 \frac{11}{12} \) \: more \: than \: \( 3 \frac{3}{4} \).[/tex]

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