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General (7x Maths - YPA) |M
Sparx Maths
rxmaths.uk/student/independentlearning/curriculums/ba538918-2f6d-4b94-9b24-bd2e0786047e/strands/2i4f1ycf9/substrands/4i7c984nf/topics/5b972b10-a
Independent Learning

1A
1B
1C
1D

1E
1F
Summary
Bookwork code: 1E
Calculator
not allowed
What is the value of 
(8)/(9)×(7)/(10) ?
Give your answer as a fraction in its lowest terms.
revious
Watch video

View\newlineHistory\newlineBookmarks\newlineProfiles\newlineTab\newlineWindow\newlineHelp\newlineGeneral (77x Maths - YPA) |M\newlineSparx Maths\newlinerxmaths.uk/student/independentlearning/curriculums/ba5389185389182-2f66d4-4b94949-9b2424-bd22e07860470786047e/strands/22i44f11ycf99/substrands/44i77c984984nf/topics/55b972972b1010-a\newlineIndependent Learning\newline1 A 1 \mathrm{~A} \newline11B\newline11C\newline11D\newline1E 1 E \newline11F\newlineSummary\newlineBookwork code: 11E\newlineCalculator\newlinenot allowed\newlineWhat is the value of 89×710 \frac{8}{9} \times \frac{7}{10} ?\newlineGive your answer as a fraction in its lowest terms.\newlinerevious\newlineWatch video

Full solution

Q. View\newlineHistory\newlineBookmarks\newlineProfiles\newlineTab\newlineWindow\newlineHelp\newlineGeneral (77x Maths - YPA) |M\newlineSparx Maths\newlinerxmaths.uk/student/independentlearning/curriculums/ba5389185389182-2f66d4-4b94949-9b2424-bd22e07860470786047e/strands/22i44f11ycf99/substrands/44i77c984984nf/topics/55b972972b1010-a\newlineIndependent Learning\newline1 A 1 \mathrm{~A} \newline11B\newline11C\newline11D\newline1E 1 E \newline11F\newlineSummary\newlineBookwork code: 11E\newlineCalculator\newlinenot allowed\newlineWhat is the value of 89×710 \frac{8}{9} \times \frac{7}{10} ?\newlineGive your answer as a fraction in its lowest terms.\newlinerevious\newlineWatch video
  1. Multiply Numerators and Denominators: To find the value of (89)×(710)(\frac{8}{9})\times(\frac{7}{10}), multiply the numerators together and the denominators together.\newlineCalculation: (8×7)/(9×10)(8\times7)/(9\times10)
  2. Calculate Result: Now, multiply the numerators: 8×7=568\times7 = 56. And multiply the denominators: 9×10=909\times10 = 90. So, (8×7)/(9×10)=56/90(8\times7)/(9\times10) = 56/90.
  3. Simplify Fraction: Next, simplify the fraction 5690\frac{56}{90} to its lowest terms.\newlineBoth 5656 and 9090 are divisible by 22.\newlineCalculation: 56÷2=2856\div 2 = 28 and 90÷2=4590\div 2 = 45.\newlineSo, 5690\frac{56}{90} simplifies to 2845\frac{28}{45}.
  4. Check for Further Simplification: Check if 2845\frac{28}{45} can be simplified further.\newline2828 and 4545 have no common factors other than 11, so 2845\frac{28}{45} is in its lowest terms.

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