Presentation on theme: "Writing Terminating Decimals as Fractions"— Presentation transcript:
1 Writing Terminating Decimals as Fractions EXAMPLE 3Writing Terminating Decimals as FractionsWrite the decimal as a fraction or mixed number insimplest form.0.4a.=4104 is in the tenths’ place.2=5Simplify.=1000– 1905b.–1.9055 is in the thousandths’ place.200181=– 19051000=– 1181200Simplify.
2 Writing Repeating Decimals as Fractions EXAMPLE 4Writing Repeating Decimals as FractionsSTEP 1Write 0.48 as a fraction by first letting x0.48=orSTEP 2Multiply by 10 , or 100, because the number has 2 repeating digits. You get 100x = , or2STEP 3Subtract x from 100x.=100x– x99xSTEP 4Solve for x and simplifyx=48991633
3 EXAMPLE 4ANSWER16The decimal 0.48 is equivalent to the fraction33
4 GUIDED PRACTICEfor Examples 3 and 4Write the decimal as a fraction or mixed number.=5031–9202=
5 GUIDED PRACTICEfor Examples 3 and 4Write the decimal as a fraction or mixed number.97=114=