Equivalent fractions come increase a lot in KS2 maths and some main school parents have the right to be a little unsure as to what lock are and how to find them. This blog post intends to make things a small clearer.

You are watching: What fraction is equivalent to 6 10

This blog is part of our series of blog designed for teachers, schools and also parents supporting home learning.

### What are identical fractions?

Equivalent fractions are two or an ext fractions that space all equal. A fraction is a part of a whole: the denominator (bottom number) to represent how countless equal components the entirety is separation into; the molecule (top number) represents the lot of those parts.

### Confused about fractions? You’re not alone

If the principle of indistinguishable fractions currently sounds a little bit confusing and also you’re not yet clean on what the distinction is in between whole numbers, denominators of a portion and different numerators you might want to loop back to our fractions for kids article

This breaks down the very first fraction steps that vital Stage 1 and an essential Stage 2 kids must take at school, along with clear examples of exactly how to uncover the worth of a fraction using concrete resources, photographic representations and number lines; the difference in between unit fractions and also non unit fractions; every the method up to proper and also improper fractions.

It’s been written as a guide for children and parents to work-related through together in clean digestible chunks.

Download cost-free Now!

### How to job-related out indistinguishable fractions

To calculate equivalent fractions, both the numerator and denominator need to be multiplied by the very same number. Because that example, to discover fractions identical to 3/5:

3/5 x 2/2 = **6/10** (x 2/2 method multiplying both the numerator and denominator by 2. Any fraction where the numerator and denominator space the exact same is same to 1. Multiplying anything by 1 doesn’t readjust the original number, therefore we recognize the fraction will be equivalent)

3/5 x 3/3 = **9/15**

3/5 x 4/4 = **12/20**

So, 3/5 = 6/10 = 9/15 = 12/20.

Another way to discover equivalent fractions is to divide both the numerator and also the denominator of the fraction by the same number – this is dubbed simplifying fractions, since both the numerator and denominator number will acquire smaller.

For example, to leveling 9/12, uncover a number that both the numerator and denominator deserve to be separated by (also well-known as a ‘common factor’), such together 3.

9/12 ÷ 3/3 = 3/4, therefore 9/12 and 3/4 are tantamount fractions, v 3/4 being the fraction in its most basic form.

### When will my child learn around equivalent fountain in main school?

Equivalent fractions KS2The concept of tantamount fractions isn’t introduced until Year 3, where kids *recognise and show, utilizing diagrams, identical fractions with little denominators.*

In Year 4, they will certainly *recognise and show, making use of diagrams, households of typical equivalent fractions*. The national Curriculum’s non-statutory guidance additionally advises the *pupils usage factors and multiples to recognise indistinguishable fractions and also simplify where proper (for example, 6/9 = 2/3 or ¼ = 2/8).*

In Year 5, pupils are taught come i*dentify, name and write tantamount fractions that a given fraction, represented visually, including tenths and hundredths*. In Year 6, they will certainly *add and subtract fountain with different denominators and also mixed numbers, making use of the concept of identical fractions.* Non-statutory guidance for Year 6 says that *common determinants can be related to finding equivalent fractions and that kids practise calculations with an easy fractions… consisting of listing indistinguishable fractions to recognize fractions with common denominators.*

### How do identical fractions relate to other locations of maths?

Children will must understand tantamount fractions to have the ability to convert between fractions, decimals and also percentages. Understanding of times tables, the lowest usual multiple and also highest typical factor are likewise important for equivalent fractions

**Wondering around how to describe other an essential maths vocabulary to her children? check out our major Maths Dictionary, or shot these various other terms associated to tantamount fractions:**

### Equivalent fractions worksheet questions

1. Write the absent values: 3/4 = 9/? = ?/24

*(Answer: 12, 18)*

2. Circle the two fractions that have actually the very same value:

2/10

1/3

½

5/10

¼

*(Answer: ½ and also 5/10)*

3. Tick two forms that have actually ¾ shaded.

*(Answer: optimal left (6/8) and also bottom ideal (12/16) as both = 3/4)*

4. Shade ¼ the this shape.

See more: Can I Take Creatine Before Bed ? Does Creatine Affect Sleep

*(Answer: correctly – it would certainly be 2/6 (imagine the center square separation into halves too) which = 1/3)*

**Online 1-to-1 maths lessons trusted by schools and teachers**Every mainly Third space Learning’s maths specialist tutors support thousands of major school youngsters with weekly digital 1-to-1 lessons and also maths interventions. Since 2013 we’ve helped over 90,000 youngsters become more confident, able mathematicians. Learn much more or request a personalised quote come speak come us around your needs and how we deserve to help.

Our online tuition because that maths programme gives every son with their own skilled one to one maths tutor