







Why are equivalent fractions equal? Part 2. 
20161122 

From Anandmay: Hi!
I saw one of your answered questions:Why are equivalent fractions equal?
The same question I had for why i searched and ended up entering this wonderful site.
The answer was so much experimental based.I mean,for example,it was explained how
3/4 was equal to 6/8 by dividing a unit into 4 equal parts and taking four of the parts,and then dividing the
same unit into 8 equal parts and then taking 6 of them.The result was that both the taken parts were equal.
(That is,3 out of 4 equal parts were equal to 6 of the 8 equal parts.)
But,this was very much nongeneralized and experimentalbased result(proof).
And we all know that in mathematics,we confirm some particular thing for all the numbers iff we generalize
it.
So,can you explain more clearly 'HOW' the 3 parts of the 4 equal parts and the 6 of the 8 equal parts of the unit
equal(that is the same)?I don't want experimental proof.I want clear proof,and thus please give a generalized
proof for all fractions and their equivalents.
Thanks! Answered by Penny Nom. 





18/y=30/25 what number does y represent 
20130720 

From celeste: 18/y=30/25 what number does y represent Answered by Penny Nom. 





Equivalent sets 
20120913 

From asif: show that (1,1)~(1,1) or give its counter example Answered by Harley Weston. 





Equivalent fractions 
20120913 

From lily: if i had 1/3 and i had to find the problem an they gave me 20 what will be the denominator Answered by Penny Nom. 





Fractions and proportions 
20120216 

From Kenneth: Hello:
I read the following in an old textbook:
Display the numbers 27, 18, 26, and 39 so as to form a proportion.
Which set of equal fractions is correct?
18/27 = 26/39
18/26 = 27/39
I thank you for your reply. Answered by Penny Nom. 





1 and four eights inches 
20110201 

From Miranda: WRITING TO EXPLAIN:If a line is measured as 1 and four eighth inches long,explain how you could simplify the measurement? Answered by Penny Nom. 





Ordering fractions 
20101214 

From serita: 1/2,2/4,4/8 how do you do least to greatest Answered by Penny Nom. 





Decimal equivalent 
20091213 

From Asia: In a forest,it rained 36 out of 90 days. What is the decimal equivalent of 30 out of 90 days Answered by Penny Nom. 





Equivalent fractions 
20090522 

From Jocelyn: give two other ratios that are equal to each
example: 6/9 Answered by Penny Nom. 





equivalent fractions 
20081006 

From marcella: a fraction equivalent to 16/20 Answered by Harley Weston. 





Simplify ((5/7)/(5/14)) + (3/4) 
20080906 

From Emal: How do you simplify completely: ((5/7)/(5/14)) + (3/4)? Answered by Penny Nom. 





A fraction word problem 
20080829 

From Sylvia: The denominator of a fraction is 1 less than 4 times the numerator. If the numerator is doubled and the denominator is increased by 6, the value of the resulting fraction is 2/5. Find the original fraction. Answered by Penny Nom. 





The decimal equivalent of a fraction 
20080324 

From Mario: What is the decimal equivalent of the fractions 5/8? Answered by Penny Nom. 





Equivalent Fractions 
20071107 

From Marlene: find equivalent fractions with a denominator of 8 1/2 Answered by Stephen La Rocque. 





Equivalent fractions 
20071003 

From kiki: I want to know how to this equivalent decimal for 6.0250. Answered by Stephen la Rocque and Penny Nom. 





Equivalent mixed numbers 
20071002 

From negra: an averagesized person can burn about 6 1/2 calories a minute while ridinng a bike. Which of the following is equivalent to that amount?
a) 1 2/2
b) 5 6/2
c) 6 2/4
d)6 2/6 Answered by Stephen La Rocque and Penny Nom. 





Equivalent fractions 
20070831 

From Darlene: What is the equivalent decimal for 0.3 and 6.53 Answered by Penny Nom. 





Equivalent decimals 
20070316 

From megan: Write an equivalent decimal for 13.48. Answered by Stephen La Rocque and Penny Nom. 





4th grade equivalent fractions 
20070307 

From Raymond: 5/8=?/16 ?=? Answered by Melanie Tyrer and Sara Ulmer. 





Equivalent fractions 
20060925 

From Orlanda: How do I write two equivalent decimals for 5.8? Answered by Penny. 





Equivalent fractions 
20060920 

From Sarah: I am the aunt of a 5th grader and we were doing math homework and the question was What is the equivalent decimal for .05 and 2.875? I am college education and was completely stumped. Please Help. Thought the question should have been what is the equivalent fraction. Answered by Penny Nom. 





Adding fractions 
20060326 

From Barbara: I know that to subtract 1/4 from 2/3 I must find a common denom. Now the 2/3 becomes 8/12.....i understand the 12, but where does the 8 come from? Answered by Penny Nom. 





A hat contains between 10 and 25 marbles 
20060306 

From Kerry: A hat contains between 10 and 25 marbles. Some marbles are green, and the rest are yellow. Without looking you are to reach into the hat and pull out a marble. The probability of pulling out a green marble is 2/9. How many marbles are in the hat and explain? Answered by Stephen La Rocque and Penny Nom. 





Equal fractions 
20060210 

From Dylan: write three equal ratios
3/4 _________________________
Answered by Penny Nom. 





Equivalent fractions 
20050913 

From Cindy:
I am a parent and aunt of a 5th grader.
My nephew has asked me what the equivalent decimal is of 0.4. Does he change it to a fraction or just add a zero either before or after?
Answered by Chris Fisher and Harley Weston. 





Equivalent sets 
20040306 

From A student: If A=(1,2,3,4,...) and B=(5,10,15,20,...), is A equivalent to B. Why or Why not ? Answered by Penny Nom. 





Equivalent fractions 
20010408 

From A student: which of the following pairs of fractions are equivalent? questions af
(a) 1/5 and 6/30 (b) 4/9 and 16/27 (c) 6/10 and 30/50 (d) 15/20 and 48/64 (e) 2/3 and 33/100 (f) 12/32 and 3/16
please show how u got the answer thank you. Answered by Penny Nom. 





Subsets of the natural numbers 
20010130 

From Christina: How do I explain why the set of natural numbers (N) cannot be equivalent to one of its finite subsets? Answered by Penny Nom. 





Equivalent fractions 
20001203 

From A student: please explain to us how to find the answer to this problem, we need three fractions that name the same amount as 2 Answered by Penny Nom. 





Why are equivalent fractions equal? 
20000405 

From An elementary student: What is the mathematical reason equivalent fractions are equal? Answered by Penny Nom. 





I am in lowest terms. 
20000321 

From Travis Fox: I am in lowest terms. When you double my numerator and my denominator the result is 10/15. Answered by Penny Nom. 





Ounces and milliliters 
19990417 

From Tony Rizzi: I'm mixing a formula of: 48 oz distilled water. 15 grams of Hydroxy Ethyl Cellulose GR (powder) 30 grams of Hydroxy Ethyl Cellulose MR (powder) 200 grams of Barium Sulfate (powder) 1000 grams of Calcium Hydroxide (powder) After mixing, I need to estimate the amount of each ingredient that fits in a 3ml syringe. And how many syringes I can fill? Answered by Harley weston. 





Modular Arithmetic 
19990204 

From Leslie Kupper: I am trying to do a project on modular arithmetic. I was wondering if there were any websites that include a sample lesson plan on modular arithmetic for any grade level. Let me know where and how to find them. Thanks. Answered by Harley Weston. 





Equivalent Expressions 
19970226 

From Karyn Jones: Josie says that s=n/(n+1) and s/(1s)=n are two ways to write the same formula. Describe whether or not you agree with Joise. Explain how you made your decision. Answered by Walter Whiteley and Penny Nom. 

