Before multiplying this fractions we have the right to simplify the calculation by cancelling.We look because that a number that divides specifically into both a number ~ above the top and a number ~ above the bottom.We can see the both 2 and 16 are also numbers and also can be separated by 2.We can halve 2 to get 1 and also halve 16 to get 8.Because we have halved a number ~ above the top and halved a number top top the bottom, the answer will be the same. 2 / 7 × 1 / 16 is the same as 1 / 7 × 1 / 8 .Now that we have actually simplified the fountain we do the multiplication.To multiply fractions us multiply the
Look because that a number on the top and also a number top top the bottom that deserve to both be split by the same number.Divide castle both by this number before multiplying the fractions.

You are watching: How to simplify fractions before multiplying


*

We look for a number on the top and also number ~ above the bottom that have the right to both be split by the same number.5 and 10 room both in the 5 time table so can be split by 5.5 ÷ 5 = 1 and also 10 ÷ 5 = 2.We can likewise see that 9 and 12 are both in the 3 times table and can be divided by 3.9 ÷ 3 = 3 and also 12 ÷ 3 = 4. 5 / 12 × 9 / 10 is the exact same as 1 / 4 × 3 / 2 .Multiplying the numerators, 1 × 3 = 3.Multiplying the denominators, 4 × 2 = 8. 5 / 12 × 9 / 10 = 3 / 8 .
*
Multiplying fountain by simple First: interaction QuestionsMultiplying fountain by simplifying First: interactive QuestionsMultiplying fractions by Simplifying an initial Worksheets and Answers
*

Multiplying fountain by simple First

To multiply fractions by simple first, use the complying with steps.Find a number on peak of the fractions and also a number on the bottom the the fractions that deserve to both be divided by the exact same number.Divide both number in the fountain by this number.Write the answers come this department in the location of the initial numbers in the fraction.Multiply the fractions prefer usual by multiply the numerators and denominators separately.Multiplying the molecule on top of the fractions amounts to the molecule on the top of the answer.Multiplying the platform on the bottom that the fractions equates to the denominator top top the bottom the the answer.Here is an instance of simplifying fractions before multiplying.Here we have actually 4 / 15 × 5 / 9 .The very first step is come look for a number on the top of one of two people of the fractions and a number on the bottom of either of the fountain that have the right to both be divided by the very same number.We deserve to see the both 5 ~ above the height of the right portion and 15 top top the bottom the the left portion are both in the 5 time table.We say that 5 is a aspect of both 5 and 15. A element is a number that divides exactly into an additional number.So we divide both 5 and also 15 through 5.
*
We have the right to multiply the fractions without simplifying first.We main point the numerators on top first.2 × 1 = 2And multiply the denominators on the bottom.7 × 16 = 112Therefore 2 / 7 × 1 / 16 = 2 / 112 .We have the right to simplify the fraction afterwards by splitting both the molecule on top and the denominator on the bottom by 2. 2 / 112 = 1 / 56 , i m sorry is our final answer.We simplified our price by dividing the top and also bottom by 2, just at the end of our process.Instead we deserve to simplify the fraction very first by overcome cancelling.
*
Multiplying the fractions 1 / 7 × 1 / 8 = 1 / 56 .This provides us the very same answer as before.
*

Why carry out we simplify Fractions before Multiplying Them?

Multiplying some fractions can an outcome in huge numbers being multiplied together. That is best to simplify fractions first by cross cancelling typical factors to make the number smaller. Smaller sized numbers are easier to multiply.You are likewise less most likely to do a mistake by simplifying the fractions first. Also the final step of simplifying is easier due to the fact that the numbers are smaller. Multiply the fractions without simplifying an initial may an outcome in very large numbers and it might not be noticeable what to division them through to leveling the fraction.For example, here is 5 / 12 × 9 / 10 .5 × 9 = 45 and 12 × 10 = 120 5 / 12 × 9 / 10 = 45 / 120 .The numbers in the fraction were not particularly easy come multiply however the final step of simple the fraction is not easy as the is hard to watch the highest usual factor that divides right into both 45 and 120.In fact, both 45 and 120 have the right to be split by 15.45 ÷ 15 = 3 and 120 ÷ 15 = 8.However it is much easier to simplify the fractions prior to multiplying.

See more: How To Unlock The Star Cup In Mario Kart Wii ? How Do I Unlock 100Cc Star Cup

*
We have the right to divide both 9 and also 15 by 3 to get 3 and also 5 respectively.We can additionally divide 4 and also 14 through 2 to get 2 and also 7 respectively. 3 / 7 × 2 / 5 = 6 / 35 .Because us already completely simplified the fractions first before multiply them, there is no should simplify our answer again. The is currently in its most basic form.