Processing math: 100%

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

    Apr 03, 25 02:56 AM

    5th grade bodmas rule worksheet

    Read More

  2. Before and After Video | Math Worksheets on Number | Before and After

    Apr 03, 25 12:44 AM

    before and after number worksheet
    Free math worksheets on numbers before and after help the kids to check how much they are good at numbers. The purpose of this math activity is to help your child to say a number in order and also hel

    Read More

  3. Order of Numbers Video | Before and After Numbers up to 10 | Counting

    Apr 03, 25 12:39 AM

    We will learn the order of numbers in a number line. In numbers and counting up to 10 we will learn to find the before and after numbers up to 10.

    Read More

  4. Counting Before, After and Between Numbers up to 10 Video | Counting

    Apr 03, 25 12:36 AM

    Before After Between
    Counting before, after and between numbers up to 10 improves the child’s counting skills.

    Read More

  5. Numbers and Counting up to 10 | Why do we Need to Learn Numbers?|Video

    Apr 03, 25 12:33 AM

    Learning Numbers
    We will learn numbers and counting up to 10 to recognize the numerals 1 through 10. Counting numbers are very important to know so that we can understand that numbers have an order and also be able to

    Read More