Fraction arithmetic on a calculator - Fractions - Edexcel - GCSE Maths Revision - Edexcel - BBC Bitesize (2024)

FAQs

What grade is fraction arithmetic? ›

Grade 4: Kids start to work with and compare fractions. Grade 5: Kids solve problems with fractions. For example, kids are asked to add and subtract fractions with different denominators, like ¾ + ⅝.

Fraction arithmetic

In order to add or subtract fractions they must have the same denominator (bottom number). If the denominators are the same then you can perform the addition or the subtraction to the numerators (top numbers).

It can be written using a ':', the word 'to' or as a fraction. In order to convert ratios to fractions when we have the ratio a:b, a : b , a:b, a:b, where both values are parts of the total, we can say that for the ratio aa+b a a + b \frac{a}{a+b} a+ba and. b a + b . \frac{b}{a+b}.

The rule for dividing fractions is you take the first fraction and multiply it by the reciprocal of the second fraction. Yes, you heard that right: to divide, you end up multiplying, but only after first flipping the second fraction around.

To divide two fractions, multiply the first fraction by the reciprocal. The reciprocal of a fraction is that fraction turned upside down, eg the reciprocal of 3/4 is 4/3. of the second fraction. This means simply that the divide sign is swapped for a multiply sign, and the second fraction is flipped upside down.

To change an improper fraction to a mixed number, follow these steps: Divide the numerator by the denominator. Write down the whole number part of the quotient. Take the remainder and write it over the original denominator.

Yes. PEMDAS is the acronym often used for the order of operations. The order of operations should be used for fractions, the same as they are used for whole numbers.

PEMDAS and the order of operations first appears in the Common Core Standards in 5th grade under the domain Operations & Algebraic Thinking.

One can subtract two fractions by finding a common denominator, subtracting the second numerator from the first numerator, and leaving the denominator alone. One can multiply two fractions by writing the quantities side by side, multiplying the two numerators, and then multiplying the two denominators.