The online exercises with solutions on fractions, aimed at students of different educational levels in England, cover a variety of math skills, in accordance with the educational programmes. For Year 7 students, the exercises focus on simplifying fractions, completing fractional expressions to verify equality, and formatting fractions or whole numbers. These activities help students strengthen their skills in simplifying and manipulating simple fractions, thus following the Year 7 math curriculum which emphasizes understanding fractions and numbers.
In Year 8, the exercises become more complex, including comparing fractions and performing operations such as addition, subtraction, and multiplication of fractions. This reflects the Year 8 curriculum, where students deepen their understanding of arithmetic operations involving fractions, developing their ability to manipulate fractions in various mathematical situations.
For Year 9 students, the exercises include tasks such as expressing the product of a number by the inverse of another as a fraction, simplifying fractions composed of products of whole and relative numbers, as well as simplifying fractions of fractions. These exercises are based on the Year 9 curriculum, which introduces more advanced concepts such as using fractions in algebraic expressions and simplifying these expressions.
The exercises for Year 10 students include writing fractions in their simplest form, simplifying expressions containing fractions, and reducing complex fractions. This aligns with the Year 10 curriculum, preparing students for their GCSEs by focusing on mastering techniques for simplifying and manipulating fractions and algebraic expressions.
For Year 11 students, the exercises include the use of prime factor decompositions to simplify fractions and determine the simplest form of a division of fractions. These exercises aim to strengthen students' algebraic skills in preparation for the advanced math curricula of the following years.
20 exercisesExercise example N°1129 :
Simplify the following fraction `7/14`.
fractions Numbers 6th Grade fraction
This activity on fractions allows to practice simplifying an integer fraction using the GCD.
Exercise example N°1130 :
By what value must the following expression `10/4=.../36` be completed for the equality to be verified?
fractions Numbers 6th Grade
This corrected exercise on fractions aims to complete a fractional expression so that an equality is verified.
Exercise example N°1131 :
Write in the form of a fraction or a whole number the following expression: `1/4*14`.
fractions Numbers 6th Grade fraction
The purpose of this corrected fraction exercise is to simplify a fractional expression.
Exercise example N°1132 :
Give an approximate value to one decimal place of the following expression: `10/17*19`
fractions Numbers 6th Grade
The purpose of this exercise is to give an approximate value to one decimal place of an algebraic.
Exercise example N°1219 :
Compare the following fractions `6/4`...`5/4`.
fractions Numbers 7th Grade compare_fractions
The purpose of this exercise is to compare two fractions, choosing the appropriate comparison operator from the list provided.
Exercise example N°1220 :
Perform the following calculation `3/5*4/6`.
fractions Numbers 7th Grade fraction
This corrected exercise aims to practice addition, subtraction or multiplication of 2 fractions.
Exercise example N°1312 :
Put in the form `a*1/b` the following fraction `19/6`
decimal writing and operations on relative numbers Numbers fractions 8th Grade
The objective of this exercise is to put the product of a number by the inverse of another number in fraction form.
Exercise example N°1314 :
Simplify the following fraction `(3*3)/(8*3)`.
decimal writing and operations on relative numbers Numbers fractions 8th Grade fraction
The objective of this activity is to simplify a fraction whose numerator and denominator are composed of products of whole numbers.
Exercise example N°1315 :
Put in the form of an irreducible fraction: `-5*8/(9*6)`.
decimal writing and operations on relative numbers Numbers fractions 8th Grade fraction
This exercise allows to learn how to simplify a fraction whose numerator and denominator are composed of product of relative numbers.
Exercise example N°1316 :
Put in the form of an irreducible fraction: `((2)/(-4))/((6)/(9))`.
decimal writing and operations on relative numbers Numbers fractions 8th Grade fraction
The objective of this exercise is to simplify a fraction whose numerator and denominator are fractions, in other words, a fraction of fractions.
Exercise example N°1328 :
Compare the following two expressions `90/10` ... `27/10`.
comparisons of numbers, fractions, expressions fractions Numbers algebraic calculus 8th Grade compare_fractions
The objective of this solved exercise is to compare two fractions using the correct operator.
Exercise example N°1329 :
Give a frame to the nearest `10^-1` of the following fraction `25/4`.
comparisons of numbers, fractions, expressions fractions Numbers 8th Grade
The objective of this math exercise is to frame a fraction using two decimal numbers.
Exercise example N°1429 :
Put the following fraction in its irreducible form: `144/210`.
fractions Numbers integers and rational numbers 9th Grade fraction
The purpose of this exercise is to put a fraction into its irreducible form.
Exercise example N°1434 :
Write D as an irreducible fraction: D = `((9/6+5/7)*2)/8`
fractions Numbers 9th Grade fraction
The objective of this corrected calculus exercise is to simplify an expression containing fractions.
Exercise example N°1436 :
mathematics exams and competitions fractions Numbers square roots 9th Grade fraction
The objective of this exercise is to reduce a fraction, simplify a square root, and calculate a fraction that contains powers.
Exercise example N°1437 :
mathematics exams and competitions fractions Numbers integers and rational numbers 9th Grade fraction
The objective of this exercise is to calculate the gcd of two numbers and simplify a fraction.
Exercise example N°1520 :
Write in the form of an irreducible fraction the following fraction `(40*28)/(35*24)` using the decomposition into prime factors.
fractions Numbers integers and rational numbers 10th Grade fraction
The purpose of this exercise is to simplify a fraction using the decomposition of a number into a product of prime factors.
Exercise example N°1539 :
Put into irreducible fraction form: `((-9)/(20))/((-36)/(-15))`.
fractions Numbers 10th Grade fraction
The purpose of this exercise is to use algebraic computation techniques to determine the irreducible form of a division of fractions.
Exercise example N°1541 :
Put into irreducible fraction form: `((-9)/(20))/((-36)/(-15))`.
fractions Numbers 10th Grade fraction
The purpose of this corrected calculus exercise is to use algebraic calculus techniques to simplify a product of fractions.
Exercise example N°14110 :
Write in the form `sqrt(a)/b`, the following expression `1/sqrt(360)`, where a and b represent two integers.
square roots fractions Numbers 9th Grade simplify_surd
The purpose of this corrected math exercise is to simplify a square root.