Same amount, three ways to write it. 3/4, 0.75 and 75% all fill the same part of the bar. Learn the benchmarks by heart and percents stop being scary.
Fraction
3/4
3 of 4 parts
Decimal
0.75
75 hundredths
Percent
75%
75 per hundred
3 pieces out of 4 equal parts
3 of 4 equal parts filled
Pick a benchmark
Benchmark Fractions, Decimals & Percents: a guide for parents
Grades 6 & 7 • Math • Free, no login
3/4, 0.75 and 75% are the same amount. See it on a bar, a candy bar and a pizza, then test your recall.
Kitchen Table Prompt
Ask what 75% off a $20 shirt means. Then show the bar: 75% is the same as 3/4, three of four equal pieces. Percent just means "out of 100."
Standards this lesson covers
Common Core: 6.RP.A.3.c (Find a percent of a quantity as a rate per 100; represent and convert fluently between benchmark fractions, decimals, and percents)
Texas (TEKS): TEKS 6.4E, 6.4F & 6.5C (Represent and generate equivalent forms of fractions, decimals, and percents using benchmark values; solve real-world problems involving proportional relationships)
Florida (NGSSS): B.E.S.T. MA.6.NSO.3.5 (Rewrite positive rational numbers in equivalent forms including benchmark fractions, decimals, and percentages)
Virginia (SOL): 6.2.a & 7.1.c (Investigate and describe relationships among fractions, decimals, and percents; represent equivalence using visual models and benchmarks)
North Carolina (SCOS): NC SCOS 6.RP.3 (Apply ratio and rate reasoning to convert fluently between common benchmark fractions, decimals, and percents)
