Tesorerovashtiidn
Answered

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find the difference 25 - 14 5/26 ​

Sagot :

Jamescarlhisita80idn

64433875598765546385

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[tex]\large\bold{Answer:}[/tex]

[tex]10\ \frac{21}{26} \\ [/tex]

[tex]\large\bold{Solution:}[/tex]

Step 1: Convert [tex]14\frac{5}{26}[/tex] to improper fraction. Use this rule: [tex]a \frac{b}{c}=\frac{ac+b}{c}\\[/tex]

  • [tex]25 - \frac{14 \times 26 + 5}{26} \\ [/tex]

Step 2: Simplify 14 × 26 to 364.

  • [tex]25 - \frac{364 + 5}{26} \\ [/tex]

Step 3: Simplify 364 + 5 to 369.

  • [tex]25 - \frac{369}{26} \\ [/tex]

Step 4: Make the denominators the same.

  • [tex]25 \times \frac{26}{26} - \frac{369}{26} \\ [/tex]

Step 5: Simplify. Denominators are now the same.

  • [tex] \frac{650}{26} - \frac{369}{26} \\ [/tex]

Step 6: Join the denominators.

  • [tex] \frac{650 - 369}{26} \\ [/tex]

Step 7: Simplify.

  • [tex] \frac{281}{26} \\ [/tex]

Step 8: Convert to mixed fraction.

  • [tex]10\ \frac{21}{26} \\ [/tex]

Decimal form: 10.807692

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