PEARSON EDEXCEL LEVEL 1/LEVEL 2 GCSE (9-1) IN MATHEMATICS (1MA1) - AUTUMN HALF TERM #1 - NUMBER - (SOME OF) N1, N2 AND N10. FOUR OPERATIONS WITH FRACTIONS AND EQUIVALENCE QUESTIONS AND ANSWERS

PEARSON EDEXCEL LEVEL 1/LEVEL 2
GCSE (9-1) IN MATHEMATICS (1MA1) -
AUTUMN HALF TERM #1 - NUMBER -
(SOME OF) N1, N2 AND N10. FOUR
OPERATIONS WITH FRACTIONS AND
EQUIVALENCE QUESTIONS AND
ANSWERS


Typesqofqfractions:
-qProperqfractions
-qImproperqfractions
-qMixedqnumbersq-qanswer---qNumeratorq<qdenominatorqe.g.q5/6
-qNumeratorq>=qdenominatorqe.g.q8/6
-qWholeqnumberq+qproperqfractionqe.g.q1q2/6

Commonqdenominatorqmethodq-qanswer---
qStepq1:qFindqtheqLCMqofqtheqdenominators q(inqthisqcaseq8qandq9q-

qmoreqonqLCMqandqHCFqinqanotherqppt).qTheqLCMqisq72.

-
qStepq2:qDivideqtheqLCMqbyqtheqdenominators.qLCMq=q72.qDenominatorsq=q8qandq9.q7

2/8=9.q72/9=8.
-
qStepq3:qNowqweqhaveq2qnumbers.qWithqtheseq2qnumbersq(9qandq8),qmultiplyqtheqfracti

onqbyqthem.qSo,qtheqfirstqfraction,q3/8,qmultiplyqbyq9.q3x9=27,qandq8x9=72.q27/72.qTheq
secondqfraction,qmultiplyqbyq8.qSo,q4x8=32.q9x8=72.q32/72.
-
qStepq4:qNowqweqhaveq2qfractionsqwithqtheqsameqdenominator.qNowqweqcanqcompareq

themq-q27/72qandq32/72.qTheqquestionsqsays,qwhichqisqgreater?
q32/72qisqgreater.qSoqourqanswerqwillqbeq4/9q(whichqisqequivalentqtoq32/72).



Equivalentqfractionsq-qanswer---
qEquivalentqfractionsqlookqdifferentqbutqhaveqtheqsameqvalue.q-

qForqexample,q½qandq3/6.qIt'sqtheqsameqthing,qsinceq3qisqhalfqofq6,q1qisqhalfqofq2!

qToqfindqthem,qyouqmustqeitherqmultiplyqorqdivideqtheqnumeratorqorqdenominatorqbyqthe

qsameqamount.

-qForqexample:q2/4q=q?/8
Sinceqbothqdenominatorsqareqgiven,qweqhaveqtoqdivideqtheqdenominatorqwithqaqmissin
gqnumberq(8)qbyqtheqdenominatorqwithoutqaqmissingqnumberq(4).q8/4q=q2.qThen,qmultip
lyqyourqanswerq(2)qbyqtheqnumberqinqtheqotherqfractionqwhichqisqinqtheqsameqpositionq(