How to Multiply a Fraction by a Whole Number
To multiply a fraction by a whole number:
- Multiply the numerator of the fraction by the whole number.
- Keep the denominator the same.
- Simplify the fraction if possible.
For example, reproduce 5 × 2/7. The numerator of the fraction is the phone number on top, which is 2. We multiply 2 by 5 but keep the denominator of 7 as 7. 5 × 2/7 = 10/7. We simplify if potential. Since the divide is an improper divide, we can convert it into a shuffle number. 10/7 means 10 ÷ 7, which is 1 end 3. Therefore the divide can be written as 1 3/7 .
Alternative Method for Multiplying a Fraction by a Whole Number
To multiply a fraction by a whole number:
- Write the whole number as a fraction out of 1.
- Multiply the numerators.
- Multiply the denominators..
- Simplify if possible.
For exemplar, multiply 4 × 1/2. The foremost step is to write 4 as 4/1. The second step is to multiply the numerators : 4 × 1 = 4. The numerator of the answer is 4. The one-third footstep is to multiply the denominators : 1 × 2 = 2. The denominator of the answer is 2. therefore 4 × 1/2 = 4/2. ultimately, simplify the fraction by dividing both the numerator and denominator by the lapp value. We can divide 4 and 2 by 2 so 4/2 simplifies to 2/1. 2/1 is the lapp as 2. consequently 4 × 1/2 = 2. We besides know that one half of 4 is 2 .
How to Multiply a Fraction by a Whole Number in Simplest Form
To multiply a fraction by a whole number, multiply the numerator by the whole number. To write this answer in the simplest form, divide the numerator and denominator by the largest number that divides into both exactly. For example, work out 2 × 3/10 in elementary form. The first step is to multiply the numerator of the fraction by the whole number. 2 × 3 = 6 and so 2 × 3/10 = 6/10. The moment step is to simplify the divide by dividing the numerator and denominator by the largest issue that divides into both. Both 6 and 10 can be divided by 2. 6/10 simplifies to 3/5. therefore 2 × 3/10 in bare form is 3/5. Multiplying a fraction by a wholly number can besides be calculated by dividing the denominator by the whole phone number. 10 is the denominator and 10 ÷ 2 = 5, which is the new denominator. This only works if the denominator of the fraction can be divided by the whole number .
How to Multiply a Mixed Number by a Whole Number
To multiply a mixed number by a whole number:
- Convert the mixed number into an improper fraction.
- Multiply the numerator of the improper fraction by the whole number.
- Simplify if possible and convert back to a mixed number.
For case, multiply 2 × 1 2/3. step 1. Convert the blend number into an improper divide. Keep the denominator the same.
To find the new numerator, multiply the unharmed total of the mix issue with the denominator and then add the numerator. The denominator is 3. The numerator is found by multiplying 1 and 3 to make 3 and then adding 2 to make 5. 1 2/3 = 5/3. step 2. Multiply the numerator of the improper divide by the hale numeral. We multiply 2 × 5 = 10 and indeed 2 × 5/3 = 10/3. The final dance step is to simplify and write as a desegregate number again. 10/3 = 3 1/3. therefore 2 × 1 2/3 = 3 1/3
Multiplying a Fraction by a Whole Number Using a Number Line
Mark the fraction on the number line. To multiply it by a whole number, add on the same fraction as many times as the multiplication requires. For example here is 5 × 1/8 on a number line. We split each unharmed total into eighths and count five of them. 5 × 1/8 = 5/8. here is another case involving an improper fraction or interracial number. Work out 5 × 1/3 using a count wrinkle. We split each hale number into thirds. We then count five of these jumps on our number line. 5 × 1/3 = 5/3. As a mix number this is 1 2/3 .
Multiplying a Fraction by a Whole Number using Models
Models can be used to teach the process of multiplying fractions by whole numbers. here is a model of the fraction 1/3. To multiply it by 2, we have twice vitamin a many parts. We can see that we nowadays have 2/3 shaded in. here is another case of using a exemplary to multiply 1/4 by 3. When we multiply 1/4 by 3, we now have 3/4. Models are useful when multiplying fractions and whole numbers because we can see that the denominator of the fraction does not change because the act of parts in the model remains the lapp .
Multiplying Fractions and Whole Numbers Word Problems
hera are some examples of son problems involving multiplying fractions and solid numbers. Q1. I cycle 1/3 of a kilometre every day. How many kilometres do I cycle in 5 days? answer : 1/3 × 5 = 5/3. Q2. At a party, each person needs 3/4 of a litre of drink. 10 people are coming in total. How many litres of drink should be bought?
answer : 3/4 × 10 = 30/4. Q3. My phone battery charges up by 3/100 every minute. What fraction will it have charged up after 7 minutes? answer : 3/100 × 7 = 21/100 .