Hello! Today, we are inquired to convert 1.75 into a fraction. Let's start!
Step-by-step Explanation:
As we can see, our purpose is to convert the decimal to fraction.
Step 1: Firstly, write down the decimal over the number 1 and our decimal is 1.75 ( Here is the illustration ):
[tex]\sf 1.75 = \frac{1.75}{\blue{1}} [/tex]
Step 2: We multiply the top and the bottom ( Numerator and Denominator ) by 10 or 100 for every number after the decimal point. ( Remember: 10 is only for 1 number, 100 is for 2 numbers and etc...)
Answers & Comments
SOLUTION:
Step 1: Write down 1.75 as a fraction with a denominator of 1.
[tex]\qquad\qquad\quad\Large\rm{\dfrac{1.75}{1}}[/tex]
Step 2: Multiply both the numerator and denominator by 100 to get rid of the decimal point.
[tex]\qquad\Large\rm{\dfrac{1.75}{1} \times \dfrac{100}{100} = \dfrac{175}{100}}[/tex]
Step 3: Simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 25.
[tex]\quad\Large\rm{\dfrac{175 \div 25}{100 \div 25} = \dfrac{7}{4} = \boxed{\bold{\:1\:\dfrac{3}{4}\:}}}[/tex]
Verified answer
CONVERTING INTO A FRACTION
Hello! Today, we are inquired to convert 1.75 into a fraction. Let's start!
Step-by-step Explanation:
As we can see, our purpose is to convert the decimal to fraction.
Step 1: Firstly, write down the decimal over the number 1 and our decimal is 1.75 ( Here is the illustration ):
[tex]\sf 1.75 = \frac{1.75}{\blue{1}} [/tex]
Step 2: We multiply the top and the bottom ( Numerator and Denominator ) by 10 or 100 for every number after the decimal point. ( Remember: 10 is only for 1 number, 100 is for 2 numbers and etc...)
[tex]\sf \frac{1.75}{1} \: \times \: \frac{\blue{100}}{\blue{100}} \: = \: \frac{\green{175}}{\green{100}} \\ \sf or \\ \sf \: \frac{1.75 \: \times \: {\blue{100}}}{1 \: \times \: {\blue{100}}} \: = \: \frac{\green{175}} {\green{100}}[/tex]
Step 3: Simplify the fraction then we get 7/4 ( Here is the illustration ):
[tex] \large \sf \frac{\green{175}}{\green{100}} \: \div \: {\orange{25}} \: = \: {\boxed{\frac{\red{7}}{\red{4}}}}[/tex]
[tex] \large \sf = \: {\boxed{\red{1 \frac{3}{4}}}}[/tex]
Where did we get 25? 25 is their HCF or Highest Common Factor. We can reduce this fraction into mixed number.
Please see the attachment below to see the illustration of mixed number that we get. Thank you!