Analysis of Students' Errors on the Fraction Calculation Operations Problem

Wirda Safriani, Said Munzir, M Duskri, Ikhsan Maulidi


Students' errors on fraction problems often occur, especially in fraction counting operations. This error shows that the ability of students who do not understand the fraction problems. To overcome these errors, attention from the teacher is needed so that mistakes can be resolved. The purpose of this study is to describe students' errors in the fraction counting operation problem on each indicator, which is related to converting mixed fractions to ordinary fractions, determining fractions of value, and performing fraction addition and subtraction operations. This research is a qualitative descriptive study. The results showed that the majority of students experienced concept errors on each indicator requested in this study. Also, students make other mistakes such as mistakes of principle and carelessness.



Error analysis, arithmetic operations, and fractions.

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Aksoy, Can Parrot. (2017). Students' errors Fractions and Possible Causes of These Errors. Journal of Education and Training Studies, 5 (11), 219-233.

Badaruddin, et al. 2016. Analysis of Error in Solving Fraction Count Operations Problems on Class VII Students of SMP Negeri 10 Kendari. JPPM, 4 (2), 43-56.

Bernard, Martin, Eva Dwi Minarti, and Masta Hutajulu. 2018. "Constructing Student's Mathematical Understanding Skills and Self Confidence: Math Games with Visual Basic Applications for Microsoft Excel in Learning Phytagore at Junior High School." International Journal of Engineering & Technology 7 (3.2): 732.

Ringing, Yasemin. (2019). Misconceptions of Primary Schools Students about The Subject of Fractions. International Journal of Evaluation and Research in Education, 8 (1), 29-38.

Fatahillah, Arif. 2017 "Analysis of Students' errors in Solving Mathematical Story Problems Based on Newman's Stages and Scaffolding Forms Given," 12.

Herholdt, Roelien & Sapire, Ingrid. 2014. An Error Analysis in the Early Grades Mathematics-A Learning Opportunity? South African Journal of Childhood Education - 4 (1): 42 - 60.

Nugroho, Reza Aji. 2017 "Analysis of Student Difficulties in Solving Story Problems on Fractional Materials in Terms of Polya Problem Solving," Kadikma, Vol. 8, No. 1, pp. 40-51,15.

Nurianti, Evi et al. Analysis of Students' errors in solving mathematical problems in fractions of Algebraic Material in Class VIII of Middle School. Untan. Pontianak.

Nuraini, Ni Luh Sakinah, Suhartono Suhartono, and Yuniawantika Yuniawantika. 2016. "Student Mistakes in Fraction Addition and Reduction Operations in Class VI Elementary Schools." Primary Schools: Theory Studies and Educational Practices 25 (2): 168–75.

Nur, Lutfia. 2014. Pedagogical Content Knowledge (PCK) experienced teachers and prospective teachers. Thesis. Indonesian education university.

Nurkaeti, Nunuy. 2018. "Polya’s Strategy: An Analysis Of Mathematical Problem Solving Difficulty In 5th Grade Elementary School. "Edu Humanities | Journal of Basic Education Cibiru Campus 10 (2): 140.

Perbowo, Krisna Satrio, and Restu Anjarwati. 2017. "Analysis Of Students' Learning Obstacles On Learning Inverse Function Material." Infinity Journal 6 (2): 169.

Rahmasantika, Danty, and Rully Charitas Indra Prahmana. 2018. "Analysis of Student Mistakes in Fraction Count Operations Based on Student Intelligence Levels." Journal of Honai Math 1 (2): 81.

Ramlah, Ramlah, Sudarman Bennu, and Baharuddin Paloloang. 2017. "Analysis of Students' errors in Solving Problem of Addition and Subtraction of Fractions in Class Vii SMPN Madani Integrated Model. "JIPMat 1 (2).

Salleh, Zakiah et al. Analysis of Types of Error in Addition and Rejection Fraction Operations. Journal of Mathematical Education 1 (1).

Saputro, Bagus Ardi. 2016. "Mathematical Reasoning Ability of Students Learning to Operate on Fractions Using Traditional Games," 10.

Setyowati, Henny, Dinawati Trapsilasiwi, and Arif Fatahillah. 2017 "Identification of Student Misconceptions in Solving Problem Questions on Fraction Number Material Using the Certainty of Response Index (Cri)," 10.

Suciati, Indah, and Dewi Sri Wahyuni. 2018. "Analysis of Students' errors in Solving Mathematical Problems in Fraction Count Operations in Class V Students of Pengawu Elementary School." Journal of Mathematics Research and Learning, 11 (2).

Sugiarti, L., & Retnawati, H. (2019, October). Analysis of student difficulties on algebra problem solving in junior high school. In Journal of Physics: Conference Series (Vol. 1320, No. 1, p. 012103). IOP Publishing.

Tanjung, Henra Saputra, and Siti Aminah Nababan. 2016. "The Influence of the Use of Play Learning Methods Against Student Math Learning Outcomes of Fractional Material in Class Iii Elementary School 200407 Hutapadang" 3 (1): 8.

Tong, Duong Huu, and Nguyen Phu Loc. 2017. "Students' Errors In Solving Mathematical Word Problems And Their Ability In Identifying Errors In Wrong Solutions". European Journal of Education Studies. 3 (6): 16.

Ulfah, Siti, and Harina Fitriyani. 2017 "Certainty Of Response Index (CRI): Misconception of Junior High School Students on Fractional Materials," 9.

Uzel, Devrim. (2018). Investigation of Misconceptions and Errors About Division Operations in Fractions. Journal of Educational Research, 6 (11), 2656-2662.

Westenskow, Arla, and Patricia Seray Moyer-Packenham. 2016. "Using an Iceberg Intervention Model to Understand Equivalent Fraction Learning When Students with Mathematical Learning Difficulties Use Different Manipulatives. International Journal for Technology in Mathematics Education, 23(2), 45.

Widiyanti, Putri and Ahmad Yani. 2017. "Analysis of Student Difficulties in Solving Problem Material in the Form of Algebra in Grades in Junior High School," 17.

Yulianingsih, Alifah. 2018. "Analysis of the Error of the Concept of Fractions in Class VIII A Junior High School Students 13 One Roof Tanjung Pinang." Journal of Mathematics Education 7: 8.

Zhang, Dake, Pamela Stecker, and KlestiBeqiri. 2017. "Strategies Students With and Without Mathematics Disabilities Use When Estimating Fractions on Number Lines." Learning Disability Quarterly. 40 (4): 225–36


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Al-Jabar : Jurnal Pendidikan Matematika is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.