|-----------------------------Solutions------------------------------| 1. 2x/7=3/14 => 2x × 14 = 7 x 3 => 28x=21 => x=0.75 2. x/10=2/5 => 5x = 20 => x=4 3. (x+1)/2=(x+1)/3 => 3x+1=2x+1 => 3x=2x => x=0 4. 3/x+3=6/18 => 6x+18=54 => 6x=36 => x=6 5. 4/3 ? 12/10 => 4x10 ? 3x12 => 40 ? 36 => 40>36 6. 9/12 ? 7/9 => 9x9 ? 12x7 => 81 ? 84 => 81<84 7. 9/51=10/28 => 9x28 ? 51x10 => 252 ? 510 => 252>510 8. 4/102=9/85 => 4x85 ? 102x9 => 340 ? 918 => 340<918 Challenge 1. x+28/90=12/180 => 180x+5040=1080 => 180x=-3960 => x=-22 Challenge 2. 10/53 ? 9/42 => 10x42 ? 53x9 => 420 ? 477 => 420<477 Challenge 3. 64+x/100 = 0.99 => 64+x/100 = 99/100 => x/100 = 35/100 => x=35
Source 1: Admin. “Cross Multiply | Cross Multiplication of Fractions.” BYJUS, BYJU’S, 19 May 2021, byjus.com/maths/cross-multiply/. Accessed 24 Sept. 2024. Source 2: Wikipedia Contributors. “Cross-Multiplication.” Wikipedia, Wikimedia Foundation, 18 July 2024, en.wikipedia.org/wiki/Cross-multiplication.
