Page 79 - ICSE Math 5
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Prime Factorization Method
                                  Step 1:  Find the prime factors of 15 and 25, and identify the common prime
                                            factors.

                                            Prime factors of 15 are 3 and 5.

                                            Prime factor of 25 is 5 (5 × 5 = 25).
                                            Common prime factor of 15 and 25 is 5.

                                  Step 2:  Since there is only one common factor
                                                                                                   Top Tip
                                            of 15 and 25, we cannot find the
                                            product of common factors.                        Keep dividing the
                                                                                            fraction by its common
                                  Step 3:  Divide the numerator and denominator             factor until you have no
                                            of the fraction by 5.                           common factor except
                                                                                             1 to divide it further.
                                            15 ÷ 5  =  3
                                            25 ÷ 5   5

                                                                     15   3
                                            So, the lowest terms of     is  .
                                                                     25   5
                    Converting Improper Fraction to Mixed Fraction

                    To convert an improper fraction to a mixed fraction, we follow the given steps.

                     •  Divide the numerator by the denominator.
                     •  Write the quotient as the whole number, remainder as the numerator and divisor as the
                          denominator of the fractional part.

                                                      Remainder
                           Mixed fraction = Quotient
                                                         Divisor
                                           24
                    Example 6: Convert         to mixed fraction.                       Mental Maths
                                           17
                                                                              1.   Write the following in their lowest
                                       1
                                                                                 terms.
                    Solution:     17  2 4                                           10          25         500
                                                                               (a)          (b)        (c)
                                    – 1 7                                           100         125       1000
                                       7                                      2.   Convert to mixed fractions.
                                                                                    15          26        100
                                      24     7                                 (a)          (b)        (c)
                                  So,     = 1   .                                   4           6           3
                                      17     17
                                  Alternatively,

                                  Split the numerator in such a way that one number is completely divisible by the
                                  denominator and then solve it.

                                  24   17 + 7    17    7        7      7
                                      =        =    +     = 1 +    = 1
                                  17     17      17   17       17     17
                                      24     7
                                  So,     = 1   .
                                      17     17

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