Word Problems Using Fractions and Decimals By: Chris Spivey Definitions • Word Problem- Using your understanding and knowledge of mathematical concepts and principles to find solutions in new unfamiliar situations. • Decimals- A number containing a decimal point like 0.07 and 1.35 are decimals. • Fractions- A number that compares part of an object or a set with the whole. Example, The fraction ¾ means 3 parts out of a total of 4 equal parts. Word Problem with Fractions • Example: 2/3 of the 15 cars left the parking lot. • An 8-3/4 foot board must be shortened to 6-1/3 feet. How much must be removed? Solved With Fractions • Answer: 10. Solution: 1/3 of 15 is 5. 2/3 of 15 is 2 x 5 = 10. The number of cars that left the parking lot is 10. • Solution: removed = current length - new length 2 5/12 = 8 3/4 feet – 6 1/3 feet Word Problem with Decimals To make a miniature ice cream truck, you need tires with a diameter between 1.465 cm and 1.472 cm. Will a tire that is 1.4691 cm in diameter work? Explain why or why not. Solved With Decimals No w let' s ord er the se dec ima ls fro m lea st to gre ate st. Let's start by writing one decimal beneath the other in their original order. 1.4650 1 . 4 6 5 0 1.4720 1.4691 Now let's order these decimals from least to greatest. 1 . 4 7 2 0 1.4650 1.4691 1.4720 Answer :A tire that is 1.4691 cm in diameter will work since 1.4691 is between 1.465 and 1.472. 1 . 4 6 9 1 Resources • • http://www.businessbookmall.com/Unit%2040.pdfhttp: //www.lemieuxperformanceracing.ca/Portals/0/Rotator/Muscle%20cars.jpg • http://images.google.com/imgres?imgurl=http://www.countryneedle.net/imag es/large/tcn_involveme.jpg&imgrefurl=http://www.countryneedle.net/index.p hp%3Fmain_page%3Dindex%26cPath%3D20&usg=__oV85KoQOREC4ww gRlF6nULdSBRc=&h=261&w=373&sz=46&hl=en&start=92&um=1&itbs=1&t bnid=3uMU8k2hTZbLJM:&tbnh=85&tbnw=122&prev=/images%3Fq%3Dma th%2Bsymbols%2Bon%2Bchalkboard%26start%3D80%26um%3D1%26hl %3Den%26safe%3Dactive%26sa%3DN%26rls%3Dcom.microsoft:en-us:IESearchBox%26rlz%3D1I7WZPA_en%26ndsp%3D20%26tbs%3Disch:1 • http://elgallodecb.zonalibre.org/American-muscle-cars-739348.jpg • http://www.mathgoodies.com/lessons/decimals/solve_word_problems.html