Number and Operations—Fractions: Recognizing and Generating Equivalent Fractions (CCSS.4.NF.1)
Common Core 4th Grade Math · Learn by Concept
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Common Core 4th Grade Math › Number and Operations—Fractions: Recognizing and Generating Equivalent Fractions (CCSS.4.NF.1)
Which fraction is equivalent to $1/2$?
$1/4$
$3/2$
$2/4$
$2/3$
Explanation
Multiply the numerator and denominator of $1/2$ by 2 to get $2/4$. On fraction bars or an area model of the same-size whole, shading 1 out of 2 equal parts covers the same amount as shading 2 out of 4 smaller, equal parts.
Which fraction is equivalent to $1/3$?
$1/6$
$2/6$
$2/3$
$3/6$
Explanation
Multiply the numerator and denominator of $1/3$ by 2 to get $2/6$. In a same-size whole, splitting each third into two equal parts makes sixths; shading 1 of 3 equals shading 2 of 6.
Which fraction is equivalent to $2/3$?
$4/6$
$2/6$
$2/9$
$3/2$
Explanation
Multiply the numerator and denominator of $2/3$ by 2 to get $4/6$. Using same-size wholes, an area model shows that dividing each third into two equal pieces makes sixths; shading 2 of 3 parts matches shading 4 of 6 parts.