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Write 95% as a fraction in simplest form

Sagot :

granol4

Answer:

19/20

Step-by-step explanation:

95%/100=0.95

=95/100

simplified

19/20

Amphitrite1040

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\text{95\% as a fraction}[/tex]

[tex]\large\text{We know percentages runs out of 100, so we first divide 95} \\\large\text{from 100 and answer that one to actually solve for your answer}[/tex]

[tex]\mathsf{\dfrac{95}{100}}[/tex]

[tex]\boxed{\mathsf{= \bf 0.95}}\large\checkmark[/tex]

[tex]\mathsf{\dfrac{0.95}{1}\times\dfrac{100}{100}}[/tex]

[tex]\large\text{CROSS MULTIPLY}[/tex]

[tex]\mathsf{\dfrac{0.95\times100\leftarrow \bold{numerator}}{1\times100\leftarrow \bold{denominator}}}}[/tex]

[tex]\mathsf{0.95\times100 = \boxed{\bf 95}}\large\checkmark[/tex]

[tex]\mathsf{1\times100=\boxed{\bf 100}}\large\checkmark[/tex]

[tex]\large\text{NEW EQUATION: }\mathsf{\dfrac{95}{100}}[/tex]

[tex]\large\text{FINALLY we simplify the fraction}[/tex]

[tex]\large\text{Each of your numbers are factors of 5, so we divide both numbers by 5}[/tex]

[tex]\mathsf{\dfrac{95\div5}{100\div5}}[/tex]

[tex]\mathsf{95\div 5 = \boxed{\bf 19}\large\checkmark\leftarrow \underline{numerator}}[/tex]

[tex]\mathsf{100\div5 = \boxed{\bf 20}\large\checkmark\leftarrow \underline{denominator}}[/tex]

[tex]\boxed{= \mathsf{\bf\dfrac{19}{20}}}\huge\checkmark[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: }\mathsf{\bf \dfrac{19}{20}}}} \huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

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