Ratio in Lowest Term

We will learn how to express the ratio lowest term. The ratio of two or more quantities of the same kind and in the same units of measurement is a comparison obtained by dividing one quantity by the other. It is desirable to write a ratio in its lowest terms as, 15 : 10 = 3 : 2 (dividing both the term by 5). Then the ratio 3 : 2 is in its lowest term, 3 and 2 are co-primes, or their H.C.F. is 1.

 

1. Find the ratio of 5 kg : 500 g in the simplest from:

Solution:  

5 kg = 5000 g

Therefore, the given ratio = 5 kg : 500 g

                                      = 5000 g : 500 g

                                             = 5000g500g

                                      = 5000500

                                      = 10×5001×500

                                             = 101

                                             = 10 : 1

2. Find the ratio of 40 min and 112 hr in the simplest form.

Solution:

112 hr = (60 + 30) min = 90 min

 Therefore, the given ratio = 40 min : 90 min

                                           = 40min90min

                                           = 4090

                                           = 10×410×9

                                           = 49

                                           = 4 : 9



3. Find the ratio of $ 3.25 : $ 9.25 in the simplest from:

Solution:

$ 3.25 = 325 cents and $ 9.25 = 925 cents

Therefore, the required ratio = 325 cents : 925 cents

= 325cents925cents

= 325925

= 25×1325×37

= 1337

= 13 : 37.



4. Simplify the following ratios:

(i) 223 : 414

(ii) 3.5 : 215

(iii) 112 : 23 : 116

Solution:

(i) 223 : 414

= 113 : 174

Now multiply each term by the L.C.M. of the denominators

= 113 × 12 : 174 × 12, [Since, L.C.M. of 3 and 4 = 12]

= 44 : 51


(ii) 3.5 : 215

= 3510 : 115

Now multiply each term by the L.C.M. of the denominators

= 3510 × 10 : 115 × 10, [Since, L.C.M. of 10 and 5 = 10]

= 35 : 22


(iii) 112 : 23 : 116

= 32 : 23 : 76

Now multiply each term by the L.C.M. of the denominators

= 32 × 6 : 23 × 6 : 76 × 6, [Since, L.C.M. of 2, 3 and 6 = 6]

= 9 : 4 : 7


● Ratio and proportion










10th Grade Math

From Ratio in Lowest Term to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Counting Numbers from 1 to 50 | Match the Number | Missing Numbers

    Apr 04, 25 03:46 PM

    Math Coloring Pages on Counting Number Oredr
    In counting numbers from 1 to 50, recognize the numbers, count and then join the numbers in the correct number order. Here we mainly need eye-hand coordination to draw the picture and maintain the num

    Read More

  2. Counting Eleven to Twenty with Numbers and Words |Numbers from 11 - 20

    Apr 04, 25 03:21 PM

    Counting eleven to twenty with numbers and words are explained below. One ten and one more is eleven. Eleven comes after ten. One ten and two more is twelve. Twelve comes after eleven.

    Read More

  3. 5th Grade BODMAS Rule Worksheet | PEMDAS | Order of operations|Answers

    Apr 03, 25 03:11 PM

    5th Grade BODMAS Rule Worksheet
    In 5th Grade BODMAS Rule Worksheet you will get different types of problems on mathematical expressions involving different operations, mathematical expression with 'brackets' and 'of' and simplifying…

    Read More

  4. Worksheet on Simplification | Simplify Expressions | BODMAS Questions

    Apr 03, 25 02:58 PM

    Worksheet on Simplification
    In worksheet on simplification, the questions are based in order to simplify expressions involving more than one bracket by using the steps of removal of brackets. This exercise sheet

    Read More

  5. Divisible by 2 Video |Test of Divisibility by 2 Trick| Rules| Examples

    Apr 03, 25 10:25 AM

    Divisible by 2
    A number is divisible by 2 if the digit at unit place is either 0 or multiple of 2. So a number is divisible by 2 if digit at its units place is 0, 2, 4, 6 or 8.

    Read More